-
1
-
-
0009176331
-
Example of two different potentials which have practically the same fixed-energy phase shifts
-
R.G. AIRAPETYAN, A.G. RAMM, A.B. SMIRNOVA, Example of two different potentials which have practically the same fixed-energy phase shifts, Phys. Lett A 254 N.3-4 (1999), 141-148.
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(1999)
Phys. Lett A
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Airapetyan, R.G.1
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4
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0003498504
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Acad. Press, Boston
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I. GRADSHTEYN, I. RYZHIK, Table of intergals, series and products, Acad. Press, Boston, 1994.
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(1994)
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7
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0003796632
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Springer Verlag, New York
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V. MAZ'YA, Sobolev spaces, Springer Verlag, New York, 1985.
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(1985)
Sobolev Spaces
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Maz'ya, V.1
-
10
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-
0003914802
-
-
Longman Scientific & Wiley, New York, Expanded Russian edition: Mir, Moscow, 1996, 1-352
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A.G. RAMM, Random fields estimation theory, Longman Scientific & Wiley, New York, 1990, 1-281. Expanded Russian edition: Mir, Moscow, 1996, 1-352.
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(1990)
Random Fields Estimation Theory
, pp. 1-281
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-
Ramm, A.G.1
-
11
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-
0003546573
-
-
Longman/Wiley, New York, Expanded Russian edition: Mir, Moscow, 1994, 1-496
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A.G. RAMM, Multidimensional inverse scattering problems, Longman/Wiley, New York, 1992, 1-385. Expanded Russian edition: Mir, Moscow, 1994, 1-496.
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(1992)
Multidimensional Inverse Scattering Problems
, pp. 1-385
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Ramm, A.G.1
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12
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-
52649145677
-
Absence of the discrete positive spectrum of the Dirichlet Laplacian in some infinite domains
-
in Russian
-
A.G. RAMM, Absence of the discrete positive spectrum of the Dirichlet Laplacian in some infinite domains, Vestnik Leningrad. Gosudarstv. Universiteta, ser math., mech. and astronom. 13 (1964), 153-156 (in Russian).
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(1964)
Vestnik Leningrad. Gosudarstv. Universiteta, ser Math., Mech. and Astronom.
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Ramm, A.G.1
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13
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0040284792
-
Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering
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A.G. RAMM, Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering, Inverse problems 3 (1987), L77-L82.
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(1987)
Inverse Problems
, vol.3
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Ramm, A.G.1
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14
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-
0001593593
-
Recovery of the potential from fixed energy scattering data
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A.G. RAMM, Recovery of the potential from fixed energy scattering data, Inverse Problems 4 (1988), 877-886;
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(1988)
Inverse Problems
, vol.4
, pp. 877-886
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-
Ramm, A.G.1
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16
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-
0002208774
-
Stability estimates in inverse scattering
-
A.G. RAMM, Stability estimates in inverse scattering, Acta Appl. Math. 28 N.I (1992), 1-42.
-
(1992)
Acta Appl. Math.
, vol.28
, Issue.1
, pp. 1-42
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Ramm, A.G.1
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18
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0030585880
-
Existence and uniqueness of scattering solutions in non-smooth domains
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A.G. RAMM, A. Ruiz, Existence and uniqueness of scattering solutions in non-smooth domains, J. Math. Anal. Appl. 201 (1996), 329-338.
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(1996)
J. Math. Anal. Appl.
, vol.201
, pp. 329-338
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Ramm, A.G.1
Ruiz, A.2
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19
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-
0347409381
-
Existence and uniqueness of the scattering solutions in the exterior of rough domains
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the book "Operator Theory and Its Applications", Amer. Math. Soc., Providence, RI, editors A.G.Ramm, P.N.Shivakumar, A.V.Strauss
-
A.G. RAMM, M. SAMMARTINO, Existence and uniqueness of the scattering solutions in the exterior of rough domains, in the book "Operator Theory and Its Applications", Amer. Math. Soc., Fields Institute Communications vol.25, 457-472, Providence, RI, 2000 (editors A.G.Ramm, P.N.Shivakumar, A.V.Strauss).
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, pp. 457-472
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Ramm, A.G.1
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20
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84952393962
-
Uniqueness theorems for inverse obstacle scattering problems in Lipschitz domains
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A.G. RAMM, Uniqueness theorems for inverse obstacle scattering problems in Lipschitz domains, Applic. Analysis 59 (1995), 377-383.
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(1995)
Applic. Analysis
, vol.59
, pp. 377-383
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-
Ramm, A.G.1
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21
-
-
43949164441
-
New method for proving uniqueness theorems for obstacle inverse scattering problems
-
A.G. RAMM, New method for proving uniqueness theorems for obstacle inverse scattering problems, Appl. Math. Lett. 6 N.6 (1993), 19-22.
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(1993)
Appl. Math. Lett.
, vol.6
, Issue.6
, pp. 19-22
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-
Ramm, A.G.1
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22
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-
0346616657
-
Stability estimates for obstacle scattering
-
A.G. RAMM, Stability estimates for obstacle scattering, J. Math. Anal. Appl. 188 N.3 (1994), 743-751.
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, vol.188
, Issue.3
, pp. 743-751
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Ramm, A.G.1
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23
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-
0009176335
-
Necessary and sufficient condition for a PDE to have property C
-
A.G. RAMM, Necessary and sufficient condition for a PDE to have property C, J. Math. Anal. Appl. 156 (1991), 505-509.
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(1991)
J. Math. Anal. Appl.
, vol.156
, pp. 505-509
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-
Ramm, A.G.1
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24
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-
0242438668
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Symmetry properties for scattering amplitudes and applications to inverse problems
-
A.G. RAMM, Symmetry properties for scattering amplitudes and applications to inverse problems, J. Math. Anal. Appl. 156 (1991), 333-340.
-
(1991)
J. Math. Anal. Appl.
, vol.156
, pp. 333-340
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-
Ramm, A.G.1
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25
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0033216644
-
Inverse scattering problem with part of the fixed-energy phase shifts
-
A.G. RAMM, Inverse scattering problem with part of the fixed-energy phase shifts, Comm. Math. Phys. 207 N.I (1999), 231-247.
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(1999)
Comm. Math. Phys.
, vol.207
, Issue.1
, pp. 231-247
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Ramm, A.G.1
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26
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0042124607
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A uniqueness result for the inverse transmission problem
-
A.G. RAMM, P. PANG, G. YAN, A uniqueness result for the inverse transmission problem, Internat. Jour, of Appl. Math. 2 N.5 (2000), 625-634.
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(2000)
Internat. Jour, of Appl. Math.
, vol.2
, Issue.5
, pp. 625-634
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-
Ramm, A.G.1
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27
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0042340459
-
Stability of the solution to inverse obstacle scattering problem
-
A.G. RAMM, Stability of the solution to inverse obstacle scattering problem, J.Inverse and Ill-Posed Problems 2 N.3 (1994), 269-275.
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(1994)
J.Inverse and Ill-Posed Problems
, vol.2
, Issue.3
, pp. 269-275
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Ramm, A.G.1
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28
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84988147972
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Continuous dependence of the scattering amplitude on the surface of an obstacle
-
A.G. RAMM, Continuous dependence of the scattering amplitude on the surface of an obstacle, Math. Methods in the Appl. Sei. 18 (1995), 121-126.
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(1995)
Math. Methods in the Appl. Sei.
, vol.18
, pp. 121-126
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Ramm, A.G.1
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29
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-
47249151804
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Examples of nonuniqueness for an inverse problems of geophysics
-
A.G. RAMM, Examples of nonuniqueness for an inverse problems of geophysics, Appl. Math. Lett. 8 N.4 (1995), 87-90.
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(1995)
Appl. Math. Lett.
, vol.8
, Issue.4
, pp. 87-90
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Ramm, A.G.1
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30
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52649160114
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On a method of solving the Dirichlet problem in some infinite domains
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In Russian
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A.G. RAMM, On a method of solving the Dirichlet problem in some infinite domains, Mathematika, Izvestiya VUZOV 5 (1965), 124-127, (In Russian)
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(1965)
Mathematika, Izvestiya VUZOV
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31
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Math. Rev. 32:7993.
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Math. Rev.
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, pp. 7993
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32
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0009175438
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Completeness of the products of solutions to PDE and inverse problems
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A.G. RAMM, Completeness of the products of solutions to PDE and inverse problems, Inverse problems 6 (1990), 643-664.
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(1990)
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Ramm, A.G.1
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33
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5644247058
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Multidimensional inverse problems and completeness of the products of solutions to PDE
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A.G. RAMM, Multidimensional inverse problems and completeness of the products of solutions to PDE, J. Math. Anal. Appl. 134 1 (1988), 211-253;
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, Issue.1
, pp. 211-253
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Ramm, A.G.1
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35
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45549116394
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A uniqueness theorem for an inverse problem
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A.G. RAMM, A uniqueness theorem for an inverse problem, Appl. Math. Lett. 1 (1988), 185-187.
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Ramm, A.G.1
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36
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0005430966
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Finding potential from the fixed-energy scattering data via D-N map
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A.G. RAMM, Finding potential from the fixed-energy scattering data via D-N map, J. of Inverse and Ill-Posed Problems 4 N.2 (1996), 145-152.
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(1996)
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, Issue.2
, pp. 145-152
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Ramm, A.G.1
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37
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52649152867
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A formula for inversion of boundary data
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A.G. RAMM, A formula for inversion of boundary data, J. of Inverse and Ill-Posed Problems 3 N.5 (1995), 411-415.
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(1995)
J. of Inverse and Ill-Posed Problems
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Ramm, A.G.1
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38
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5644240488
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Uniqueness theorems for multidimensional inverse problems with unbounded coefficients
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A.G. RAMM, Uniqueness theorems for multidimensional inverse problems with unbounded coefficients, J. Math. Anal. Appl. 136 (1988), 568-574.
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Ramm, A.G.1
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39
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45549116502
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A simple proof of uniqueness theorem in impedance tomography
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A.G. RAMM, A simple proof of uniqueness theorem in impedance tomography, Appl. Math. Lett, l N.3 (1988), 287-290.
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(1988)
Appl. Math. Lett
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, Issue.3
, pp. 287-290
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Ramm, A.G.1
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40
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5644274771
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Multidimensional inverse problems: Uniqueness theorems
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A.G. RAMM, Multidimensional inverse problems: Uniqueness theorems, Appl. Math. Lett, l N.4 (1988), 377-380.
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41
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8544258745
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Multidimensional inverse scattering problems and completeness of the products of solutions to homogeneous PDE
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A.G. RAMM, Multidimensional inverse scattering problems and completeness of the products of solutions to homogeneous PDE, Zeitschr. f. angew. Math. u. Mech. 69 N.4 (1989), T13-T22.
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36149030896
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Stability of the numerical method for solving the 3D inverse scattering problem with fixed energy data
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A.G. RAMM, Stability of the numerical method for solving the 3D inverse scattering problem with fixed energy data, Inverse problems 6 (1990), L7-12.
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Ramm, A.G.1
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43
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0009257884
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Property C and an inverse problem for a hyperbolic equation
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A.G. RAMM, RAKESH, Property C and an inverse problem for a hyperbolic equation, J. Math. Anal. Appl. 156 (1991), 209-219.
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Ramm, A.G.1
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44
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Stability of the numerical method for solving 3D inverse scattering problem with fixed energy data
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A.G. RAMM, Stability of the numerical method for solving 3D inverse scattering problem with fixed energy data, J. f. die reine und angew. Math 414 (1991), 1-21.
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Ramm, A.G.1
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45
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Property C and inverse problems
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Inverse Problems in Engineering Sciences, Proc. of a conference held in Osaka, Japan, Aug. 1990, Springer Verlag, New York
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A.G. RAMM, Property C and inverse problems, ICM-90 Satellite Conference Proceedings, Inverse Problems in Engineering Sciences, Proc. of a conference held in Osaka, Japan, Aug. 1990, Springer Verlag, New York, 1991, 139-144.
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(1991)
ICM-90 Satellite Conference Proceedings
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Ramm, A.G.1
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46
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44049120473
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Stability of the solution to inverse scattering problem with exact data
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A.G. RAMM, Stability of the solution to inverse scattering problem with exact data, Appl.Math.Lett. 5 N.I (1992), 91-94.
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, Issue.1
, pp. 91-94
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Ramm, A.G.1
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47
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5644272371
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Stability of the inversion of 3D fixed-frequency data
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A.G. RAMM, Stability of the inversion of 3D fixed-frequency data, J.Math.Anal.Appl. 169 N.2 (1992), 329-349.
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J.Math.Anal.Appl.
, vol.169
, Issue.2
, pp. 329-349
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Ramm, A.G.1
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48
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50749134721
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Stability of the solution to 3D fixed-energy inverse scattering problem
-
A.G. RAMM, Stability of the solution to 3D fixed-energy inverse scattering problem, J.Math.Anal.Appl. 170 N.I (1992), 1-15.
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(1992)
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Ramm, A.G.1
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49
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52649164952
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Algorithm for solving 3D inverse scattering problems with noisy discrete fixed-energy data
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in the book: Inverse Problems, Atlanta Technology Publications, Atlanta, Georgia
-
A.G. RAMM, Algorithm for solving 3D inverse scattering problems with noisy discrete fixed-energy data, Proceedings of ICES-92 conference on inverse problems, in the book: Inverse Problems, Atlanta Technology Publications, Atlanta, Georgia, 1993, 70-74.
-
(1993)
Proceedings of ICES-92 Conference on Inverse Problems
, pp. 70-74
-
-
Ramm, A.G.1
-
50
-
-
43949162227
-
Inverse geophysical problems for some non-compactly supported inhomogeneities
-
A.G. RAMM, D. ROY, Inverse geophysical problems for some non-compactly supported inhomogeneities, Appl. Math. Lett. 6 N.6 (1993), 15-18.
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(1993)
Appl. Math. Lett.
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, pp. 15-18
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Ramm, A.G.1
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51
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52649099283
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Multidimensional inverse scattering: Solved and unsolved problems
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Atlanta, Eds. G.Ladde and M.Sambandham
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A.G. RAMM, Multidimensional inverse scattering: solved and unsolved problems, Proc. Intern. Confer, on Dynamical Syst. and Applic. vol.1 Atlanta, 1994, 287-296. (Eds. G.Ladde and M.Sambandham)
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(1994)
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, pp. 287-296
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Ramm, A.G.1
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52
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36149032787
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Stability estimate in scattering theory and its application to mesoscopic systems and quantum chaos
-
A.G. RAMM, G. BERMAN, Stability estimate in scattering theory and its application to mesoscopic systems and quantum chaos, Physics A 27 N.18 (1994), 6157-6166.
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(1994)
Physics A
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, Issue.18
, pp. 6157-6166
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Ramm, A.G.1
Berman, G.2
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53
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0028685098
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Stability of the solution to 3D inverse scattering problems with fixed-energy data
-
Proc. ASME Nov.6-11, 1994, meeting
-
A.G. RAMM, Stability of the solution to 3D inverse scattering problems with fixed-energy data, Proc. ASME Nov.6-11, 1994, meeting. Inverse problems in mechanics, AMD-Vol.186, 99-102.
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Inverse Problems in Mechanics
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, pp. 99-102
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Ramm, A.G.1
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54
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44949285249
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Finding conductivity from boundary measurements
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A.G. RAMM, Finding conductivity from boundary measurements, Comp. & Math.with Appl. 21 N.8 (1991), 85-91.
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Comp. & Math.with Appl.
, vol.21
, Issue.8
, pp. 85-91
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Ramm, A.G.1
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55
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52649181406
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A non-overdetermined inverse problem of finding the potential from the spectral function
-
A.G. RAMM, A non-overdetermined inverse problem of finding the potential from the spectral function, International Jour, of Diff. Eqs and Applic. 3 N.I (2001), 15-29.
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(2001)
International Jour, of Diff. Eqs and Applic.
, vol.3
, Issue.1
, pp. 15-29
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Ramm, A.G.1
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56
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33646721873
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Piecewise-constant positive potentials with practically the same fixed-energy phase shifts
-
A.G. RAMM, S. GUTMAN, Piecewise-constant positive potentials with practically the same fixed-energy phase shifts, Applic. Analysis, 78 N.l-2 (2001), 207-217.
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(2001)
Applic. Analysis
, vol.78
, Issue.2
, pp. 207-217
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Ramm, A.G.1
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57
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0001110912
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A global uniquness theorem for inverse boundary value problem
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J. SYLVESTER, G. UHLMANN, A global uniquness theorem for inverse boundary value problem, Ann. Math. 125 (1987), 153-169.
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(1987)
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, vol.125
, pp. 153-169
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Sylvester, J.1
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58
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0347121843
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Embedding operators for rough domains
-
V. GOL'DSHTEIN, A.G. RAMM, Embedding operators for rough domains, Mathem. Ineq. and Appl. 4 N.I (2000), 127-141.
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, Issue.1
, pp. 127-141
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