-
1
-
-
0003308723
-
Lectures on exponential decay of solutions of second-order elliptic equations: Bounds on eigenfunctions of N body Schrödinger operators
-
Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo
-
Agmon, S. Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N body Schrödinger operators. Mathematical Notes, 29. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982.
-
(1982)
Mathematical Notes
, vol.29
-
-
Agmon, S.1
-
2
-
-
51249166950
-
Decay and regularity for the Schrödinger equation
-
Ben-Artzi, M.; Klainerman, S. Decay and regularity for the Schrödinger equation. J. Anal. Math. 58 (1992), 25-37.
-
(1992)
J. Anal. Math.
, vol.58
, pp. 25-37
-
-
Ben-Artzi, M.1
Klainerman, S.2
-
3
-
-
0141503424
-
Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
-
Burq, N.; Planchon, F.; Stalker, G.; Tahvildar-Zadeh, A. S. Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential. J. Funct. Anal. 203 (2003), no. 2, 519-549.
-
(2003)
J. Funct. Anal.
, vol.203
, Issue.2
, pp. 519-549
-
-
Burq, N.1
Planchon, F.2
Stalker, G.3
Tahvildar-Zadeh, A.S.4
-
4
-
-
0002189021
-
Scattering for the nonlinear Schrödinger equation: States that are close to a soliton
-
Buslaev, V. S.; Perel'man, G. S. Scattering for the nonlinear Schrödinger equation: states that are close to a soliton. Algebra i Analiz 4 (1992), no. 6, 63-102; translation in St. Petersburg Math. J. 4 (1993), no. 6, 1111-1142.
-
(1992)
Algebra I Analiz
, vol.4
, Issue.6
, pp. 63-102
-
-
Buslaev, V.S.1
Perel'man, G.S.2
-
5
-
-
0000073733
-
-
translation
-
Buslaev, V. S.; Perel'man, G. S. Scattering for the nonlinear Schrödinger equation: states that are close to a soliton. Algebra i Analiz 4 (1992), no. 6, 63-102; translation in St. Petersburg Math. J. 4 (1993), no. 6, 1111-1142.
-
(1993)
St. Petersburg Math. J.
, vol.4
, Issue.6
, pp. 1111-1142
-
-
-
6
-
-
84968508844
-
Local smoothing properties of dispersive equations
-
Constantin, P.; Saut, J.-C. Local smoothing properties of dispersive equations. J. Amer. Math. Soc. 1 (1988), no. 2, 413-439.
-
(1988)
J. Amer. Math. Soc.
, vol.1
, Issue.2
, pp. 413-439
-
-
Constantin, P.1
Saut, J.-C.2
-
7
-
-
0000497589
-
Local smoothing properties of Schrödinger equations
-
Constantin, P.; Saut, J.-C. Local smoothing properties of Schrödinger equations. Indiana Univ. Math. J. 38 (1989), no. 3, 791-810.
-
(1989)
Indiana Univ. Math. J.
, vol.38
, Issue.3
, pp. 791-810
-
-
Constantin, P.1
Saut, J.-C.2
-
8
-
-
0035595894
-
Stabilization of solutions to nonlinear Schrödinger equations
-
Cuccagna, S. Stabilization of solutions to nonlinear Schrödinger equations. Comm. Pure Appl. Math. 54 (2001), no. 9, 1110-1145.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, Issue.9
, pp. 1110-1145
-
-
Cuccagna, S.1
-
9
-
-
0003155025
-
Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
-
Doi, S.-I. Smoothing effects of Schrödinger evolution groups on Riemannian manifolds. Duke Math. J. 82 (1996), no. 3, 679-706.
-
(1996)
Duke Math. J.
, vol.82
, Issue.3
, pp. 679-706
-
-
Doi, S.-I.1
-
10
-
-
0001437142
-
The analytic continuation of the resolvent kernel and scattering operator associated with the Schroedinger operator
-
Dolph, C. L.; McLeod, J. B.; Thoe, D. The analytic continuation of the resolvent kernel and scattering operator associated with the Schroedinger operator. J. Math. Anal. Appl. 16 (1966), 311-332.
-
(1966)
J. Math. Anal. Appl.
, vol.16
, pp. 311-332
-
-
Dolph, C.L.1
McLeod, J.B.2
Thoe, D.3
-
12
-
-
11844259032
-
-
Personal communication
-
Ginibre, J. Personal communication.
-
-
-
Ginibre, J.1
-
13
-
-
58149363006
-
Generalized Strichartz inequalities for the wave equation
-
Ginibre, J.; Velo, G. Generalized Strichartz inequalities for the wave equation. J. Funct. Anal. 133 (1995), no. 1, 50-68.
-
(1995)
J. Funct. Anal.
, vol.133
, Issue.1
, pp. 50-68
-
-
Ginibre, J.1
Velo, G.2
-
14
-
-
0000492529
-
Phase space analysis of the charge transfer model
-
Graf, J. M. Phase space analysis of the charge transfer model. Helv. Phys. Acta 63 (1990), no. 1-2, 107-138.
-
(1990)
Helv. Phys. Acta
, vol.63
, Issue.1-2
, pp. 107-138
-
-
Graf, J.M.1
-
15
-
-
84990563336
-
Analysis of the linearization around a critical point of an infinite-dimensional Hamiltonian system
-
Grillakis, M. Analysis of the linearization around a critical point of an infinite-dimensional Hamiltonian system. Comm. Pure Appl. Math. 43 (1990), no. 3, 299-333.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, Issue.3
, pp. 299-333
-
-
Grillakis, M.1
-
16
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry. I
-
Grillakis, M.; Shatah, J.; Strauss, W. Stability theory of solitary waves in the presence of symmetry. I. J. Funct. Anal. 74 (1987), no. 1, 160-197.
-
(1987)
J. Funct. Anal.
, vol.74
, Issue.1
, pp. 160-197
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
17
-
-
0039037825
-
On the space-time behavior of Schrödinger wavefunctions
-
Hunziker, W. On the space-time behavior of Schrödinger wavefunctions. J. Mathematical Phys. 7 (1966), no. 2, 300-304.
-
(1966)
J. Mathematical Phys.
, vol.7
, Issue.2
, pp. 300-304
-
-
Hunziker, W.1
-
18
-
-
84990619685
-
Decay estimates for Schrödinger operators
-
Journé, J.-L.; Soffer, A.; Sogge, C. D. Decay estimates for Schrödinger operators. Comm. Pure Appl. Math. 44 (1991), no. 5, 573-604.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, Issue.5
, pp. 573-604
-
-
Journé, J.-L.1
Soffer, A.2
Sogge, C.D.3
-
19
-
-
0000570111
-
Some examples of smooth operators and the associated smoothing effect
-
Kato, T.; Yajima, K. Some examples of smooth operators and the associated smoothing effect. Rev. Math. Phys. 1 (1989), no. 4, 481-496.
-
(1989)
Rev. Math. Phys.
, vol.1
, Issue.4
, pp. 481-496
-
-
Kato, T.1
Yajima, K.2
-
20
-
-
0001138601
-
Endpoint Strichartz estimates
-
Keel, M.; Tao, T. Endpoint Strichartz estimates. Amer. J. Math. 120 (1998), no. 5, 955-980.
-
(1998)
Amer. J. Math.
, vol.120
, Issue.5
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
21
-
-
0037430095
-
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator
-
Nier, F.; Soffer, A. Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. J. Funct. Anal. 198 (2003), no. 2, 511-535.
-
(2003)
J. Funct. Anal.
, vol.198
, Issue.2
, pp. 511-535
-
-
Nier, F.1
Soffer, A.2
-
22
-
-
0039687341
-
Local decay of scattering solutions to Schrödinger's equation
-
Rauch, J. Local decay of scattering solutions to Schrödinger's equation. Comm. Math. Phys. 61 (1978), no. 2, 149-168.
-
(1978)
Comm. Math. Phys.
, vol.61
, Issue.2
, pp. 149-168
-
-
Rauch, J.1
-
24
-
-
1542508715
-
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
-
Rodnianski, I.; Schlag, W. Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Invent. Math. 155 (2004), no. 3, 451-513.
-
(2004)
Invent. Math.
, vol.155
, Issue.3
, pp. 451-513
-
-
Rodnianski, I.1
Schlag, W.2
-
26
-
-
0001420204
-
Instability of nonlinear bound states
-
Shatah, J.; Strauss, W. Instability of nonlinear bound states. Comm. Math. Phys. 100 (1985), no. 2, 173-190.
-
(1985)
Comm. Math. Phys.
, vol.100
, Issue.2
, pp. 173-190
-
-
Shatah, J.1
Strauss, W.2
-
27
-
-
0001679726
-
Regularity of solutions to the Schrödinger equation
-
Sjölin, P. Regularity of solutions to the Schrödinger equation. Duke Math. J. 55 (1987), no. 3, 699-715.
-
(1987)
Duke Math. J.
, vol.55
, Issue.3
, pp. 699-715
-
-
Sjölin, P.1
-
28
-
-
11844295145
-
On the many-body problem in quantum mechanics
-
Méthodes semi-classiques, vol. 1 (Nantes, 1991)
-
Soffer, A. On the many-body problem in quantum mechanics. Méthodes semi-classiques, vol. 1 (Nantes, 1991). Astérisque 207 (1992), no. 6, 109-152.
-
(1992)
Astérisque
, vol.207
, Issue.6
, pp. 109-152
-
-
Soffer, A.1
-
29
-
-
84860087149
-
On the linear stability of solitary waves in Hamiltonian systems with symmetry
-
Lecture Notes in Physics, 342. Springer, Berlin
-
Stubbe, J. On the linear stability of solitary waves in Hamiltonian systems with symmetry. Integrable systems and applications (Île d'Oléron, 1988), 328-335. Lecture Notes in Physics, 342. Springer, Berlin, 1989.
-
(1989)
Integrable Systems and Applications (Île D'Oléron, 1988)
, pp. 328-335
-
-
Stubbe, J.1
-
31
-
-
0004276192
-
-
Princeton Mathematical Series, 34. Princeton University Press, Princeton, N.J.
-
Taylor, M. E. Pseudodifferential operators. Princeton Mathematical Series, 34. Princeton University Press, Princeton, N.J., 1981.
-
(1981)
E. Pseudodifferential Operators.
-
-
Taylor, M.1
-
32
-
-
0040750519
-
The short-wave asymptotic behavior of the solutions of stationary problems, and the asymptotic behavior as t → ∞ of the solutions of nonstationary problems
-
Vaǐ nberg, B. R. The short-wave asymptotic behavior of the solutions of stationary problems, and the asymptotic behavior as t → ∞ of the solutions of nonstationary problems. Uspehi Mat. Nauk 30 (1975), no. 2(182), 3-55.
-
(1975)
Uspehi Mat. Nauk
, vol.30
, Issue.2-182
, pp. 3-55
-
-
Vaǐnberg, B.R.1
-
33
-
-
0000801121
-
Schrödinger equations: Pointwise convergence to the initial data
-
Vega, L. Schrödinger equations: pointwise convergence to the initial data. Proc. Amer. Math. Soc. 102 (1988), no. 4, 874-878.
-
(1988)
Proc. Amer. Math. Soc.
, vol.102
, Issue.4
, pp. 874-878
-
-
Vega, L.1
-
34
-
-
0002283169
-
ṗ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
-
ṗ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential. J. Funct. Anal. 170 (2000), no. 1, 37-68.
-
(2000)
J. Funct. Anal.
, vol.170
, Issue.1
, pp. 37-68
-
-
Weder, R.1
-
35
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
Weinstein, M. I. Modulational stability of ground states of nonlinear Schrödinger equations. SIAM J. Math. Anal. 16 (1985), no. 3, 472-491.
-
(1985)
SIAM J. Math. Anal.
, vol.16
, Issue.3
, pp. 472-491
-
-
Weinstein, M.I.1
-
36
-
-
0030500197
-
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations
-
Weinstein, M. I.; Xin, J. Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Comm. Math. Phys. 180 (1996), no. 2, 389-428.
-
(1996)
Comm. Math. Phys.
, vol.180
, Issue.2
, pp. 389-428
-
-
Weinstein, M.I.1
Xin, J.2
-
37
-
-
84974000292
-
Geometric methods in scattering theory of the charge transfer model
-
Wüller, U. Geometric methods in scattering theory of the charge transfer model. Duke Math. J. 62 (1991), no. 2, 273-313.
-
(1991)
Duke Math. J.
, vol.62
, Issue.2
, pp. 273-313
-
-
Wüller, U.1
-
38
-
-
0000477848
-
A multichannel scattering theory for some time dependent Hamiltonians, charge transfer problem
-
Yajima, K. A multichannel scattering theory for some time dependent Hamiltonians, charge transfer problem. Comm. Math. Phys. 75 (1980), no. 2, 153-178.
-
(1980)
Comm. Math. Phys.
, vol.75
, Issue.2
, pp. 153-178
-
-
Yajima, K.1
-
39
-
-
84972559697
-
k, p continuity of wave operators for Schrödinger operators
-
k, p continuity of wave operators for Schrödinger operators. J. Math. Soc. Japan 47 (1995), no. 3, 551-581.
-
(1995)
J. Math. Soc. Japan
, vol.47
, Issue.3
, pp. 551-581
-
-
Yajima, K.1
-
40
-
-
0033235580
-
p-boundedness of wave operators for two-dimensional Schrödinger operators
-
p-boundedness of wave operators for two-dimensional Schrödinger operators. Comm. Math. Phys. 208 (1999), no. 1, 125-152.
-
(1999)
Comm. Math. Phys.
, vol.208
, Issue.1
, pp. 125-152
-
-
Yajima, K.1
-
41
-
-
0031281990
-
Asymptotic completeness for multiparticle dispersive charge transfer models
-
Zielinski, L. Asymptotic completeness for multiparticle dispersive charge transfer models. J. Funct. Anal. 150 (1997), no. 2, 453-470.
-
(1997)
J. Funct. Anal.
, vol.150
, Issue.2
, pp. 453-470
-
-
Zielinski, L.1
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