-
1
-
-
0020831056
-
On the inverse scattering transform for the Kadomtsev-Petviashvili equation
-
M. J. ABLOWITZ, D. BAR YAACOV, and A. S. FOKAS, On the inverse scattering transform for the Kadomtsev-Petviashvili equation, Stud. Appl. Math. 69 (1983), 135-143.
-
(1983)
Stud. Appl. Math.
, vol.69
, pp. 135-143
-
-
Ablowitz, M.J.1
Bar Yaacov, D.2
Fokas, A.S.3
-
2
-
-
84972834699
-
Stable determination of conductivity by boundary measurements
-
G. ALESSANDRINI, Stable determination of conductivity by boundary measurements, Appl. Anal. 27 (1988), 153-172.
-
(1988)
Appl. Anal.
, vol.27
, pp. 153-172
-
-
Alessandrini, G.1
-
3
-
-
0001666009
-
Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
-
_, Singular solutions of elliptic equations and the determination of conductivity by boundary measurements, J. Diff. Eq. 84 (1990), 252-273.
-
(1990)
J. Diff. Eq.
, vol.84
, pp. 252-273
-
-
-
4
-
-
84914745517
-
-
exp. 22, 1981-1982, exp. 21, Ecole Polytechnique, Palaiseau
-
R. BEALS and R. R. COIFMAN, Scattering, transformations spectrales et equations d'evolution non linéaires I, II, Séminaire Goulaouic-Meyer-Schwartz 1980-1981, exp. 22, 1981-1982, exp. 21, Ecole Polytechnique, Palaiseau.
-
Scattering, Transformations Spectrales et Equations d'Evolution Non Linéaires I, II, Séminaire Goulaouic-Meyer-Schwartz 1980-1981,
-
-
Beals, R.1
Coifman, R.R.2
-
5
-
-
0007059921
-
Multidimensional inverse scattering and nonlinear partial differential equations
-
A.M.S. Providence, R.I.
-
_, Multidimensional inverse scattering and nonlinear partial differential equations, Proc. Symp. Pure Math. 43 (1985), A.M.S. Providence, R.I., 45-70.
-
(1985)
Proc. Symp. Pure Math.
, vol.43
, pp. 45-70
-
-
-
6
-
-
0039235850
-
On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane
-
M. BOITI, J. P. LEON, M. MANNA and F. PEMPINELLI, On a spectral transform of a KdV-like equation related to the Schrödinger operator in the plane, Inv. Prob. 3 (1987), 25-36.
-
(1987)
Inv. Prob.
, vol.3
, pp. 25-36
-
-
Boiti, M.1
Leon, J.P.2
Manna, M.3
Pempinelli, F.4
-
8
-
-
0039639530
-
Determination of the diffusivity of an isotropic medium
-
J. R. CANNON, J. DOUGLAS and B. F. JONES, Determination of the diffusivity of an isotropic medium, Int. J. Engng. Sci. 1 (1963), 453-455.
-
(1963)
Int. J. Engng. Sci.
, vol.1
, pp. 453-455
-
-
Cannon, J.R.1
Douglas, J.2
Jones, B.F.3
-
9
-
-
0000271273
-
A problem in electrical prospection and an n-dimensional Borg-Levinson theorem
-
S. CHANILLO, A problem in electrical prospection and an n-dimensional Borg-Levinson theorem, Proc. A.M.S. 108 (1990), 761-767.
-
(1990)
Proc. A.M.S.
, vol.108
, pp. 761-767
-
-
Chanillo, S.1
-
10
-
-
0011029919
-
Inverse scattering in dimension two
-
M. CHENEY, Inverse scattering in dimension two, J. Math. Phys. 25 (1984), 94-107.
-
(1984)
J. Math. Phys.
, vol.25
, pp. 94-107
-
-
Cheney, M.1
-
11
-
-
0001926062
-
Layer potential methods for boundary value problems on Lipschitz domains
-
Potential Theory Surveys and Problems, Prague ed. by J. Král, J. Lukeš, J. Netuka, J. Veselý, Springer-Verlag
-
E. FABES, Layer potential methods for boundary value problems on Lipschitz domains, in Potential Theory Surveys and Problems, Prague 1987, ed. by J. Král, J. Lukeš, J. Netuka, J. Veselý, Lecture Notes in Math. 1344, Springer-Verlag, 55-80.
-
(1987)
Lecture Notes in Math.
, vol.1344
, pp. 55-80
-
-
Fabes, E.1
-
12
-
-
0008131380
-
Increasing solutions of the Schrödinger equation
-
L. D. FADDEEV, Increasing solutions of the Schrödinger equation, Dokl. Akad Nauk SSSR, 165 (1965), 514-517 (Sov. Phys. Dokl. 10 (1966), 1033-1035).
-
(1965)
Dokl. Akad Nauk SSSR
, vol.165
, pp. 514-517
-
-
Faddeev, L.D.1
-
13
-
-
0009639124
-
-
L. D. FADDEEV, Increasing solutions of the Schrödinger equation, Dokl. Akad Nauk SSSR, 165 (1965), 514-517 (Sov. Phys. Dokl. 10 (1966), 1033-1035).
-
(1966)
Sov. Phys. Dokl.
, vol.10
, pp. 1033-1035
-
-
-
15
-
-
0004625033
-
Two-dimensional inverse scattering problem for negative energies and generalized analytic functions, I. Energies below the ground state
-
P. G. GRINEVICH and S. P. NOVIKOV, Two-dimensional inverse scattering problem for negative energies and generalized analytic functions, I. Energies below the ground state, Funktsional. Anal. i Ego Prilozhen 22 (1988), 23-33 (transl. Funct. Anal. and Appl. 22 (1988), 19-27).
-
(1988)
Funktsional. Anal. I Ego Prilozhen
, vol.22
, pp. 23-33
-
-
Grinevich, P.G.1
Novikov, S.P.2
-
16
-
-
0040826103
-
-
P. G. GRINEVICH and S. P. NOVIKOV, Two-dimensional inverse scattering problem for negative energies and generalized analytic functions, I. Energies below the ground state, Funktsional. Anal. i Ego Prilozhen 22 (1988), 23-33 (transl. Funct. Anal. and Appl. 22 (1988), 19-27).
-
(1988)
Funct. Anal. and Appl.
, vol.22
, pp. 19-27
-
-
-
17
-
-
0000451602
-
The ∂̄-equation in the multidimensional inverse scattering problem
-
G. M. HENKIN and R. G. NOVIKOV, The ∂̄-equation in the multidimensional inverse scattering problem, Uspekhi Math. Nauk 42 (1987), 93-152 (transl. Russian Math. Surveys 42 (1987), 109-180).
-
(1987)
Uspekhi Math. Nauk
, vol.42
, pp. 93-152
-
-
Henkin, G.M.1
Novikov, R.G.2
-
18
-
-
0000451597
-
-
G. M. HENKIN and R. G. NOVIKOV, The ∂̄-equation in the multidimensional inverse scattering problem, Uspekhi Math. Nauk 42 (1987), 93-152 (transl. Russian Math. Surveys 42 (1987), 109-180).
-
(1987)
Russian Math. Surveys
, vol.42
, pp. 109-180
-
-
-
19
-
-
0000058762
-
Completeness of products of solutions and some inverse problems for PDE
-
V. ISAKOV, Completeness of products of solutions and some inverse problems for PDE, J. Diff. Eq. 92 (1991), 305-317.
-
(1991)
J. Diff. Eq.
, vol.92
, pp. 305-317
-
-
Isakov, V.1
-
20
-
-
0039047566
-
Uniqueness and stability in many-dimensional inverse problems
-
to appear
-
_, Uniqueness and stability in many-dimensional inverse problems, Inv. Prob. (to appear).
-
Inv. Prob.
-
-
-
21
-
-
0002814972
-
Boundary value problems on Lipschitz domains
-
ed. by W. Littmann
-
D. S. JERISON and C. E. KENIG, Boundary value problems on Lipschitz domains, MAA Studies in Math. 23 (1982), ed. by W. Littmann, 1-68.
-
(1982)
MAA Studies in Math.
, vol.23
, pp. 1-68
-
-
Jerison, D.S.1
Kenig, C.E.2
-
22
-
-
84990583776
-
Determining conductivity by boundary measurements
-
R. KOHN and M. VOGELIUS, Determining conductivity by boundary measurements, Comm. Pure Appl. Math. 37 (1984), 289-298.
-
(1984)
Comm. Pure Appl. Math.
, vol.37
, pp. 289-298
-
-
Kohn, R.1
Vogelius, M.2
-
23
-
-
84990557216
-
Determining conductivity by boundary measurements II, Interior results
-
_, Determining conductivity by boundary measurements II, Interior results, Comm. Pure Appl. Math. 38 (1985), 643-667.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 643-667
-
-
-
24
-
-
0021580594
-
Identification of an unknown conductivity by means of measurements at the boundary
-
_, Identification of an unknown conductivity by means of measurements at the boundary, SIAM-AMS Proc. 14 (1984), Inverse Problems, ed. by D. W. McLaughlin, 113-123.
-
(1984)
SIAM-AMS Proc.
, vol.14
-
-
-
25
-
-
0021580594
-
-
_, Identification of an unknown conductivity by means of measurements at the boundary, SIAM-AMS Proc. 14 (1984), Inverse Problems, ed. by D. W. McLaughlin, 113-123.
-
Inverse Problems
, pp. 113-123
-
-
McLaughlin, D.W.1
-
26
-
-
84966215704
-
An inverse problem in differential equations
-
R. E. LANGER, An inverse problem in differential equations, Bull. A.M.S. 39 (1933), 814-820.
-
(1933)
Bull. A.M.S.
, vol.39
, pp. 814-820
-
-
Langer, R.E.1
-
28
-
-
0000426306
-
Reconstructions from boundary measurements
-
A. I. NACHMAN, Reconstructions from boundary measurements, Ann. of Math. 128 (1988), 531-576.
-
(1988)
Ann. of Math.
, vol.128
, pp. 531-576
-
-
Nachman, A.I.1
-
29
-
-
0039956016
-
Inverse scattering at fixed energy
-
Leipzig, ed. by K. Schmüdgen, Springer-Verlag
-
_, Inverse scattering at fixed energy, Proc. 10th Int. Cong. on Math. Phys., Leipzig, 1991, ed. by K. Schmüdgen, Springer-Verlag (1992), 434-441.
-
(1991)
Proc. 10th Int. Cong. on Math. Phys.
, pp. 434-441
-
-
-
31
-
-
0021626802
-
A multidimensional inverse scattering method
-
A. I. NACHMAN and M. J. ABLOWITZ, A multidimensional inverse scattering method, Studies in Appl. Math. 71 (1984), 243-250.
-
(1984)
Studies in Appl. Math.
, vol.71
, pp. 243-250
-
-
Nachman, A.I.1
Ablowitz, M.J.2
-
34
-
-
34249973239
-
Multidimensional inverse spectral problem for the equation -Δψ + (v(x) - Eu(x))ψ = 0
-
transl. Funct. Anal. and Appl. 22 (1988) 263-272
-
R. G. NOVIKOV, Multidimensional inverse spectral problem for the equation -Δψ + (v(x) - Eu(x))ψ = 0, Funkt. Anal. i Ego Prilozhen 22 (1988), 11-22, (transl. Funct. Anal. and Appl. 22 (1988) 263-272).
-
(1988)
Funkt. Anal. I Ego Prilozhen
, vol.22
, pp. 11-22
-
-
Novikov, R.G.1
-
35
-
-
0010533416
-
The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator
-
_, The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator, J. Funct. Anal. 103 (1992), 409-463.
-
(1992)
J. Funct. Anal.
, vol.103
, pp. 409-463
-
-
-
36
-
-
5544278008
-
The bound states of weakly coupled Schrödinger operators in one and two dimensions
-
B. SIMON, The bound states of weakly coupled Schrödinger operators in one and two dimensions, Ann. of Phys. 97 (1976), 279-288.
-
(1976)
Ann. of Phys.
, vol.97
, pp. 279-288
-
-
Simon, B.1
-
37
-
-
0003799686
-
Singular integrals and differentiability properties of functions
-
Princeton
-
E. M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematics Series, Princeton, 1970.
-
(1970)
Princeton Mathematics Series
-
-
Stein, E.M.1
-
38
-
-
0003517185
-
Introduction to fourier analysis on euclidean spaces
-
Princeton
-
E. M. STEIN and G. WEISS, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Mathematics Series, Princeton, 1971.
-
(1971)
Princeton Mathematics Series
-
-
Stein, E.M.1
Weiss, G.2
-
39
-
-
0012094090
-
On an inverse boundary value problem in two dimensions
-
Z. SUN, On an inverse boundary value problem in two dimensions, Comm. PDE 14 (1989), 1101-1113.
-
(1989)
Comm. PDE
, vol.14
, pp. 1101-1113
-
-
Sun, Z.1
-
40
-
-
38249017934
-
The inverse conductivity problem in two dimensions
-
_, The inverse conductivity problem in two dimensions, J. Diff. Eq. 87 (1990), 227-255.
-
(1990)
J. Diff. Eq.
, vol.87
, pp. 227-255
-
-
-
41
-
-
84974001727
-
Generic uniqueness for an inverse boundary value problem
-
Z. SUN and G. UHLMANN, Generic uniqueness for an inverse boundary value problem. Duke Math. J. 62 (1991), 131-155.
-
(1991)
Duke Math. J.
, vol.62
, pp. 131-155
-
-
Sun, Z.1
Uhlmann, G.2
-
42
-
-
84990586454
-
An anisotropic inverse boundary value problem
-
J. SYLVESTER, An anisotropic inverse boundary value problem, Comm. Pure Appl. Math. 38 (1990), 201-232.
-
(1990)
Comm. Pure Appl. Math.
, vol.38
, pp. 201-232
-
-
Sylvester, J.1
-
43
-
-
0000032419
-
A convergent layer-stripping algorithm for the radially symmetric impedance tomography problem
-
_, A convergent layer-stripping algorithm for the radially symmetric impedance tomography problem, Comm. PDE 17 (1992), 1955-1994.
-
(1992)
Comm. PDE
, vol.17
, pp. 1955-1994
-
-
-
44
-
-
84990623248
-
A uniqueness theorem for an inverse boundary problem in electrical prospection
-
J. SYLVESTER and G. UHLMANN, A uniqueness theorem for an inverse boundary problem in electrical prospection, Comm. Pure Appl. Math 39 (1986), 92-112.
-
(1986)
Comm. Pure Appl. Math
, vol.39
, pp. 92-112
-
-
Sylvester, J.1
Uhlmann, G.2
-
45
-
-
0001110912
-
A global uniqueness theorem for an inverse boundary value problem
-
_, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. 125 (1987), 153-169.
-
(1987)
Ann. of Math.
, vol.125
, pp. 153-169
-
-
-
46
-
-
84990627147
-
Inverse boundary value problems at the boundary-continuous dependence
-
_, Inverse boundary value problems at the boundary-continuous dependence, Comm. Pure Appl. Math. 41 (1988), 197-221.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 197-221
-
-
-
47
-
-
0039760957
-
Remarks on an inverse boundary value problem
-
Pseudodifferential Operators, Oberwolfach 1986, ed. by H. O. Cordes, B. Gramsch and H. Widom, Springer-Verlag
-
_, Remarks on an inverse boundary value problem, in Pseudodifferential Operators, Oberwolfach 1986, ed. by H. O. Cordes, B. Gramsch and H. Widom, Lecture Notes in Math. 1256, Springer-Verlag, 430-441.
-
Lecture Notes in Math.
, vol.1256
, pp. 430-441
-
-
-
48
-
-
0001461425
-
Inverse problems in anisotropic media
-
_, Inverse problems in anisotropic media, Contemp. Math. 122 (1991), 105-117.
-
(1991)
Contemp. Math.
, vol.122
, pp. 105-117
-
-
-
49
-
-
0040231366
-
The Schrödinger operator in the plane
-
T. Y. TSAI, The Schrödinger operator in the plane, Inv. Prob. 9 (1993), 763-787.
-
(1993)
Inv. Prob.
, vol.9
, pp. 763-787
-
-
Tsai, T.Y.1
-
51
-
-
48549113823
-
Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
-
G. VERCHOTA, Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains, J. Funct. Anal. 59 (1984), 572-611.
-
(1984)
J. Funct. Anal.
, vol.59
, pp. 572-611
-
-
Verchota, G.1
|