-
1
-
-
84990604696
-
Spectral theory of Schrödinger operators on Euclidean and non-Euclidean spaces
-
S. Agmon, Spectral theory of Schrödinger operators on Euclidean and non-Euclidean spaces, Comm. Pure Appl. Math. 39 Supplement (1986), S3-S16.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, Issue.SUPPL.
-
-
Agmon, S.1
-
2
-
-
84947680266
-
To the reconstruction of a Riemannian manifold via its boundary spectral data (BC method)
-
M. I. Belishev and Y. V. Kurylev, To the reconstruction of a Riemannian manifold via its boundary spectral data (BC method). Comm. Partial Differential Equations 17 (1992), 767-804.
-
(1992)
Comm. Partial Differential Equations
, vol.17
, pp. 767-804
-
-
Belishev, M.I.1
Kurylev, Y.V.2
-
3
-
-
0001659228
-
Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
-
R. Brown and G. Uhlmann, Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Comm. Partial Differential Equations 22 (1997), 1009-1027.
-
(1997)
Comm. Partial Differential Equations
, vol.22
, pp. 1009-1027
-
-
Brown, R.1
Uhlmann, G.2
-
4
-
-
10844223395
-
The inverse scatering problem in two dimensions at fixed energy
-
G. Eskin, The inverse scatering problem in two dimensions at fixed energy, Comm. Partial Differential Equations 26 (2001), 1055-1090.
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 1055-1090
-
-
Eskin, G.1
-
5
-
-
21844485178
-
Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
-
G. Eskin and J. Ralston, Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy, Comm. Math. Phys. 173 (1995), 199-224.
-
(1995)
Comm. Math. Phys.
, vol.173
, pp. 199-224
-
-
Eskin, G.1
Ralston, J.2
-
6
-
-
0001649173
-
Inverse problems of quantum scattering theory
-
L. D. Faddeev, Inverse problems of quantum scattering theory, J. Sov. Math. 5 (1976), 334-396.
-
(1976)
J. Sov. Math.
, vol.5
, pp. 334-396
-
-
Faddeev, L.D.1
-
7
-
-
84972579463
-
Spectral analysis of second-order elliptic operators on non-compact manifolds
-
R. Froese and P. Hislop, Spectral analysis of second-order elliptic operators on non-compact manifolds, Duke Math. J. 58 (1989), 103-129.
-
(1989)
Duke Math. J.
, vol.58
, pp. 103-129
-
-
Froese, R.1
Hislop, P.2
-
8
-
-
51249168638
-
The geometry and spectra of hyperbolic manifolds
-
P. D. Hislop, The geometry and spectra of hyperbolic manifolds, Proc. Indian Acad. Sci. (Math. Sci.) 104 (1994), 715-776.
-
(1994)
Proc. Indian Acad. Sci. (Math. Sci.)
, vol.104
, pp. 715-776
-
-
Hislop, P.D.1
-
9
-
-
0000709378
-
Limiting absorption method and absolute continuity for the Schrödinger operator
-
T. Ikebe and Y. Saito, Limiting absorption method and absolute continuity for the Schrödinger operator, J. Math. Kyoto Univ. 12 (1972), 513-542.
-
(1972)
J. Math. Kyoto Univ.
, vol.12
, pp. 513-542
-
-
Ikebe, T.1
Saito, Y.2
-
10
-
-
0001311566
-
Global uniqueness for a two-dimensional semilinear elliptic inverse problem
-
V. Isakov and A. Nachman, Global uniqueness for a two-dimensional semilinear elliptic inverse problem, Trans. Amer. Math. Soc. 347 (1995), 3375-3390.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 3375-3390
-
-
Isakov, V.1
Nachman, A.2
-
11
-
-
0040174316
-
The inverse scattering at fixed energies in two dimensions
-
V. Isakov and Z. Sun, The inverse scattering at fixed energies in two dimensions, Indiana Univ. Math. J. 44 (1995), 883-896.
-
(1995)
Indiana Univ. Math. J.
, vol.44
, pp. 883-896
-
-
Isakov, V.1
Sun, Z.2
-
12
-
-
10844245310
-
Multi-dimensional inverse scattering theory
-
S. Saito et al., eds., Kluwer Academic Publishers, Dordrecht
-
H. Isozaki, Multi-dimensional inverse scattering theory. Analytic Extension Formulas and Their Applications (S. Saito et al., eds.), Kluwer Academic Publishers, Dordrecht, 2001, pp. 123-167.
-
(2001)
Analytic Extension Formulas and Their Applications
, pp. 123-167
-
-
Isozaki, H.1
-
13
-
-
10844280530
-
Inverse problems and hyperbolic manifolds
-
Inverse Problems and Spectral Theory Amer. Math. Soc., Providence, RI
-
_, Inverse problems and hyperbolic manifolds. Inverse Problems and Spectral Theory (H. Isozaki, ed.), Contemp. Math. vol. 348, Amer. Math. Soc., Providence, RI, 2004, pp. 181-197.
-
(2004)
Contemp. Math.
, vol.348
, pp. 181-197
-
-
Isozaki, H.1
-
14
-
-
4444285163
-
Hyperbolic geometry and local Dirichlet-Neumann map
-
H. Isozaki and G. Uhlmann, Hyperbolic geometry and local Dirichlet-Neumann map, Adv. Math. 188 (2004), 294-314.
-
(2004)
Adv. Math.
, vol.188
, pp. 294-314
-
-
Isozaki, H.1
Uhlmann, G.2
-
15
-
-
0001226256
-
Unique continuation and absence of positive eigenvalues for Schrödinger operators
-
D. Jerison and C. E. Kenig, Unique continuation and absence of positive eigenvalues for Schrödinger operators, Ann. of Math. 121 (1985), 463-494.
-
(1985)
Ann. of Math.
, vol.121
, pp. 463-494
-
-
Jerison, D.1
Kenig, C.E.2
-
16
-
-
0036600691
-
A uniqueness theorem for an inverse boundary value problem in two dimensions
-
H. Kang, A uniqueness theorem for an inverse boundary value problem in two dimensions, J. Math. Anal. Appl. 270 (2002), 291-302.
-
(2002)
J. Math. Anal. Appl.
, vol.270
, pp. 291-302
-
-
Kang, H.1
-
17
-
-
2442664239
-
Inverse problems for the Pauli Hamiltonian in two dimensions
-
H. Kang and G. Uhlmann, Inverse problems for the Pauli Hamiltonian in two dimensions, J. Fourier Anal. Appl. 10 (2004), 201-215.
-
(2004)
J. Fourier Anal. Appl.
, vol.10
, pp. 201-215
-
-
Kang, H.1
Uhlmann, G.2
-
18
-
-
85055528934
-
-
Chapman & Hall, Boca Raton, FL
-
A. Katchalov, Y. Kurylev and M. Lassas, Inverse Boundary Spectral Problems, Chapman & Hall, Boca Raton, FL, 2001.
-
(2001)
Inverse Boundary Spectral Problems
-
-
Katchalov, A.1
Kurylev, Y.2
Lassas, M.3
-
19
-
-
0000451597
-
The ∂̄-equation in the multi-dimensional inverse scattering problem
-
G. M. Khenkin and R. G. Novikov, The ∂̄-equation in the multi-dimensional inverse scattering problem, Russian Math. Surveys 42 (1987), 109-180.
-
(1987)
Russian Math. Surveys
, vol.42
, pp. 109-180
-
-
Khenkin, G.M.1
Novikov, R.G.2
-
20
-
-
84972498076
-
Scattering theory for differential operators, I, II
-
S. T. Kuroda, Scattering theory for differential operators, I, II, J. Math. Soc. Japan 25 (1972), 75-104, 222-234.
-
(1972)
J. Math. Soc. Japan
, vol.25
, pp. 75-104
-
-
Kuroda, S.T.1
-
23
-
-
84990609931
-
Determining anisotropic real-analytic conductivity by boundary measurements
-
J. Lee and G. Uhlmann, Determining anisotropic real-analytic conductivity by boundary measurements, Comm. Pure Appl. Math. 42 (1989), 1097-1112.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 1097-1112
-
-
Lee, J.1
Uhlmann, G.2
-
25
-
-
0000426306
-
Reconstruction from boundary measurements
-
A. Nachman, Reconstruction from boundary measurements, Ann. of Math. 128 (1988), 531-576.
-
(1988)
Ann. of Math.
, vol.128
, pp. 531-576
-
-
Nachman, A.1
-
26
-
-
0030550779
-
Global uniqueness for a two dimensional inverse boundary value problem
-
_, Global uniqueness for a two dimensional inverse boundary value problem, Ann. of Math. 143 (1996), 71-96.
-
(1996)
Ann. of Math.
, vol.143
, pp. 71-96
-
-
-
27
-
-
0010533416
-
The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator
-
R. G. Novikov, The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator, J. Fund. Anal. 103 (1992), 409-463.
-
(1992)
J. Fund. Anal.
, vol.103
, pp. 409-463
-
-
Novikov, R.G.1
-
28
-
-
38249035778
-
The Laplace operator on a hyperbolic manifold I. Spectral and scattering theory
-
P. A. Perry, The Laplace operator on a hyperbolic manifold I. Spectral and scattering theory, J. Funct. Anal. 75 (1987), 161-187.
-
(1987)
J. Funct. Anal.
, vol.75
, pp. 161-187
-
-
Perry, P.A.1
-
29
-
-
0003687441
-
-
Academic Press, San Diego, 1978
-
M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. 1, vol. 4, Academic Press, San Diego, 1980/1978.
-
(1980)
Methods of Modern Mathematical Physics
, vol.1-4
-
-
Reed, M.1
Simon, B.2
-
30
-
-
10844272086
-
-
Springer-Verlag, Berlin
-
Y. Saito, Spectral Representations for Schrödinger Operators with Long-Range Potentials, Lecture Notes in Math., vol. 727, Springer-Verlag, Berlin, 1979.
-
(1979)
Spectral Representations for Schrödinger Operators with Long-Range Potentials, Lecture Notes in Math.
, vol.727
-
-
Saito, Y.1
-
31
-
-
0012094090
-
On an inverse boundary value problem in two dimensions
-
Z. Sun, On an inverse boundary value problem in two dimensions, Comm. Partial Differential Equations 14 (1989), 1101-1113.
-
(1989)
Comm. Partial Differential Equations
, vol.14
, pp. 1101-1113
-
-
Sun, Z.1
-
32
-
-
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
-
33
-
-
21144461533
-
Recovery of singularities for formally determined problems
-
_, Recovery of singularities for formally determined problems, Comm. Math. Phys. 153 (1993), 431-445.
-
(1993)
Comm. Math. Phys.
, vol.153
, pp. 431-445
-
-
-
34
-
-
84990586454
-
An anisotropic inverse boundary problem
-
J. Sylvester, An anisotropic inverse boundary problem, Comm. Pure Appl. Math. 43 (1990), 201-233.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 201-233
-
-
Sylvester, J.1
-
35
-
-
84990623248
-
A uniqueness theorem for an inverse boundary value problem in electrical prospection
-
J. Sylvester and G. Uhlmann, A uniqueness theorem for an inverse boundary value problem in electrical prospection, Comm. Pure Appl. Math. 39 (1986), 91-112.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 91-112
-
-
Sylvester, J.1
Uhlmann, G.2
-
36
-
-
0001110912
-
A global uniqueness theorem for an inverse boundary value problem
-
J. Sylvester and G. Uhlmann, 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
-
-
Sylvester, J.1
Uhlmann, G.2
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