-
1
-
-
0003230767
-
Global solutions of nonlinear Schrödinger equations
-
Coloquium Publications
-
Bourgain, J. Global Solutions of Nonlinear Schrödinger Equations, AMS 46. Coloquium Publications: 1999.
-
(1999)
AMS
, vol.46
-
-
Bourgain, J.1
-
2
-
-
0000501868
-
Local smoothing and convergence properties of Schrödinger-type equations
-
Ben-Artzi, M.; Devinatz, A. Local Smoothing and Convergence Properties of Schrödinger-Type Equations. J. Func. Anal. 1991, 101, 231-254.
-
(1991)
J. Func. Anal.
, vol.101
, pp. 231-254
-
-
Ben-Artzi, M.1
Devinatz, A.2
-
3
-
-
0003197180
-
An introduction to nonlinear Schrödinger equations
-
Universidade Federal do Rio de Janeiro
-
Cazenave, T. An Introduction to Nonlinear Schrödinger Equations, Textos De Métodos Matemàticos 22, Universidade Federal do Rio de Janeiro.
-
Textos De Métodos Matemàticos
, vol.22
-
-
Cazenave, T.1
-
4
-
-
0011576999
-
Some remarks on the nonlinear Schrödinger equation in the critical case
-
Springer Verlag: Berlin, New York
-
Cazenave, T.; Weissler, F.B. Some Remarks on the Nonlinear Schrödinger Equation in the Critical Case. Lecture in Math. 1392, Springer Verlag: Berlin, New York, 1989; 18-29.
-
(1989)
Lecture in Math.
, vol.1392
, pp. 18-29
-
-
Cazenave, T.1
Weissler, F.B.2
-
5
-
-
0002738813
-
Local existence for semilinear Schrödinger equations
-
Chihara, H. Local Existence for Semilinear Schrödinger Equations. Math. Japonica 1995, 42(1), 35-52.
-
(1995)
Math. Japonica
, vol.42
, Issue.1
, pp. 35-52
-
-
Chihara, H.1
-
6
-
-
0001356194
-
Global existence of small solutions to semilinear Schrödinger equations
-
Chihara, H. Global Existence of Small Solutions to Semilinear Schrödinger Equations. Comm. PDE 1996, 21, 63-78.
-
(1996)
Comm. PDE
, vol.21
, pp. 63-78
-
-
Chihara, H.1
-
7
-
-
21444456730
-
The initial value problem for cubic semilinear Schrödinger equations
-
Chihara, H. The Initial Value Problem for Cubic Semilinear Schrödinger Equations. Publ. RIMS, Kyoto Univ. 1996, 32, 445-471.
-
(1996)
Publ. RIMS, Kyoto Univ.
, vol.32
, pp. 445-471
-
-
Chihara, H.1
-
8
-
-
22844455356
-
Gain of regularity for semilinear Schrödinger equations
-
Chihara, H. Gain of Regularity for Semilinear Schrödinger Equations. Math. Ann. 1999, 315, 529-567.
-
(1999)
Math. Ann.
, vol.315
, pp. 529-567
-
-
Chihara, H.1
-
9
-
-
84968508844
-
Local smoothing properties of dispersive equations
-
Constantin, P.; Saut, J-C. Local Smoothing Properties of Dispersive Equations. J. Am. Math. Soc. 1988, 1, 413-439.
-
(1988)
J. Am. Math. Soc.
, vol.1
, pp. 413-439
-
-
Constantin, P.1
Saut, J.-C.2
-
10
-
-
0000497589
-
Local smoothing properties of Schrödinger equations
-
Constantin, P.; Saut, J.-C. Local Smoothing Properties of Schrödinger Equations. Indiana Univ. Math. J. 1989, 38, 791-810.
-
(1989)
Indiana Univ. Math. J.
, vol.38
, pp. 791-810
-
-
Constantin, P.1
Saut, J.-C.2
-
11
-
-
84990700842
-
Microlocal dispersive smoothing for the Schrödinger equation
-
Craig, W.; Kappeler, T.; Strauss, W. Microlocal Dispersive Smoothing for the Schrödinger Equation. Comm. on Pure Appl. Math. 1995, 48, 769-860.
-
(1995)
Comm. on Pure Appl. Math.
, vol.48
, pp. 769-860
-
-
Craig, W.1
Kappeler, T.2
Strauss, W.3
-
12
-
-
0000278560
-
On the cauchy problem for Schrödinger type equations and the regularity of solutions
-
Doï, S.-I. On the Cauchy Problem for Schrödinger Type Equations and the Regularity of Solutions. J. Math. Kyoto Univ. 1994, 34(2), 319-328.
-
(1994)
J. Math. Kyoto Univ.
, vol.34
, Issue.2
, pp. 319-328
-
-
Doï, S.-I.1
-
13
-
-
0002604507
-
Remarks on the cauchy problem for Schrödinger type equations
-
Doï, S.-I. Remarks on the Cauchy Problem for Schrödinger Type Equations. Comm. PDE 1996, 21, 163-178.
-
(1996)
Comm. PDE
, vol.21
, pp. 163-178
-
-
Doï, S.-I.1
-
14
-
-
0010604043
-
Smoothing effect for Schrödinger evolution equation via commutator algebra
-
Ecoles Polytechnique, No.20
-
Doï, S.-I. Smoothing Effect for Schrödinger Evolution Equation via Commutator Algebra, Equations Aux Déivées Partielles. Ecoles Polytechnique 1996-1997, No. 20.
-
(1996)
Equations Aux Dérivées Partielles
-
-
Doï, S.-I.1
-
15
-
-
0003155025
-
Smoothing effects of Schrödinger evolution groups on riemannian manifolds
-
Doï, S.-I. Smoothing Effects of Schrödinger Evolution Groups on Riemannian Manifolds. Duke Math. J. 1996, 82, 679-706.
-
(1996)
Duke Math. J.
, vol.82
, pp. 679-706
-
-
Doï, S.-I.1
-
16
-
-
0010533853
-
On regularizing effects for Schrödinger-type equations
-
Doï, S.-I. On Regularizing Effects for Schrödinger-Type Equations. Sugaku Expositions 1999, 12(1), 95-106.
-
(1999)
Sugaku Expositions
, vol.12
, Issue.1
, pp. 95-106
-
-
Doï, S.-I.1
-
17
-
-
36749114276
-
On the blowing up solutions to the Cauchy problem for nonlinear Schrödinger equations
-
Glassey, R.T. On the Blowing up Solutions to the Cauchy Problem for Nonlinear Schrödinger Equations. J. Math. Phys. 1977, 18, 1794-1797.
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1794-1797
-
-
Glassey, R.T.1
-
18
-
-
0010532987
-
Introduction aux équations de Schrödinger non linéaires
-
Ginibre, J. Introduction Aux Équations De Schrödinger Non Linéaires. Cours de DEA, Paris Onze Editions, 1995.
-
(1995)
Cours de DEA, Paris Onze Editions
-
-
Ginibre, J.1
-
19
-
-
49249148441
-
On a class of nonlinear Schrödinger equations
-
Ginibre, J.; Velo, G. On a Class of Nonlinear Schrödinger Equations. J. Funct. Anal. 1979, 32, 1-71.
-
(1979)
J. Funct. Anal.
, vol.32
, pp. 1-71
-
-
Ginibre, J.1
Velo, G.2
-
20
-
-
85050669204
-
The global cauchy problem for the non linear Schrödinger equation revisited
-
Ginibre, J.; Velo, G. The Global Cauchy Problem for the Non Linear Schrödinger Equation Revisited. Ann. Inst. Henri Poincaré 1985, 2, 309-327.
-
(1985)
Ann. Inst. Henri Poincaré
, vol.2
, pp. 309-327
-
-
Ginibre, J.1
Velo, G.2
-
21
-
-
0000555922
-
Scattering theory in the energy space for a class of nonlinear Schrödinger equation
-
Ginibre, J.; Velo, G. Scattering Theory in the Energy Space for a Class of Nonlinear Schrödinger Equation. J. Math. Pures. et Appl. 1985, 64, 363-401.
-
(1985)
J. Math. Pures. et Appl.
, vol.64
, pp. 363-401
-
-
Ginibre, J.1
Velo, G.2
-
22
-
-
0001133675
-
∞ -well posed cauchy problem of Schrödinger type equations with variable coefficients
-
∞ -Well Posed Cauchy Problem of Schrödinger Type Equations with Variable Coefficients. J. Math. Kyoto Univ. 1992, 32, 287-305.
-
(1992)
J. Math. Kyoto Univ.
, vol.32
, pp. 287-305
-
-
Hara, S.1
-
23
-
-
0000688654
-
Regularity in time of solutions to nonlinear Schrödinger equations
-
Hayashi, N.; Kato, K. Regularity in Time of Solutions to Nonlinear Schrödinger Equations. J. Funct. Anal. 1995, 128, 253-277.
-
(1995)
J. Funct. Anal.
, vol.128
, pp. 253-277
-
-
Hayashi, N.1
Kato, K.2
-
24
-
-
0001363348
-
Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation
-
Hayashi, N.; Miao, C.; Naumkin, P. Global Existence of Small Solutions to the Generalized Derivative Nonlinear Schrödinger Equation. Asymptotic Analysis 1999, 21, 133-147.
-
(1999)
Asymptotic Analysis
, vol.21
, pp. 133-147
-
-
Hayashi, N.1
Miao, C.2
Naumkin, P.3
-
25
-
-
84972525950
-
Remarks on nonlinear Schrödinger equations in one space dimension
-
Hayashi, N.; Ozawa, T. Remarks on Nonlinear Schrödinger Equations in One Space Dimension. Diff. and Integral Eqs. 1994, 7, 453-461.
-
(1994)
Diff. and Integral Eqs.
, vol.7
, pp. 453-461
-
-
Hayashi, N.1
Ozawa, T.2
-
26
-
-
0010567549
-
Analyticity and smoothing effect for the Schrödinger equations
-
Hayashi, N.; Saitoh, S. Analyticity and Smoothing Effect for the Schrödinger Equations. Ann. Inst. Henri Poincaré Phys. Th. 1990, 52, 163-173.
-
(1990)
Ann. Inst. Henri Poincaré Phys. Th.
, vol.52
, pp. 163-173
-
-
Hayashi, N.1
Saitoh, S.2
-
27
-
-
84972551383
-
The cauchy problem for Schrödinger type equations with variable coefficients
-
Ichinose, W. The Cauchy Problem for Schrödinger Type Equations with Variable Coefficients. Osaka J. Math. 1987, 24, 853-886.
-
(1987)
Osaka J. Math.
, vol.24
, pp. 853-886
-
-
Ichinose, W.1
-
28
-
-
0001139811
-
The cauchy problem for Schrödinger type equations with variable coefficients
-
Kajitani, K. The Cauchy Problem for Schrödinger Type Equations with Variable Coefficients. J. Math. Soc. Japan 1998, 50, 179-202.
-
(1998)
J. Math. Soc. Japan
, vol.50
, pp. 179-202
-
-
Kajitani, K.1
-
29
-
-
0030497126
-
Dispersive smoothing for Schrödinger equations
-
Kapitanski, L.; Safarov, Y. Dispersive Smoothing for Schrödinger Equations. Math. Research Letters 1996, 3, 77-91.
-
(1996)
Math. Research Letters
, vol.3
, pp. 77-91
-
-
Kapitanski, L.1
Safarov, Y.2
-
30
-
-
0000818765
-
Nonlinear Schrödinger equations
-
in Schrödinger Operators, Springer
-
Kato, T. Nonlinear Schrödinger Equations, in Schrödinger Operators. Lect. Notes Phys. Springer: 1989, 345, 218-263.
-
(1989)
Lect. Notes Phys.
, vol.345
, pp. 218-263
-
-
Kato, T.1
-
31
-
-
84990617895
-
Commutator estimates and the euler and Navier-Stokes equations
-
Kato, T.; Ponce, G. Commutator Estimates and the Euler and Navier-Stokes Equations. Comm. Pure Appl. Math. 1988, 41, 891-907.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, pp. 891-907
-
-
Kato, T.1
Ponce, G.2
-
32
-
-
0001969794
-
Oscillatory integrals and regularity of dispersive equations
-
Kenig, C.; Ponce, G.; Vega, L. Oscillatory Integrals and Regularity of Dispersive Equations. Indiana University Math. J. 1991, 40, 33-69.
-
(1991)
Indiana University Math. J.
, vol.40
, pp. 33-69
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
33
-
-
84990553608
-
Well-posedness and scattering results for the generalized korteweg-de-vries equation via the contraction principle
-
Kenig, C.; Ponce, G.; Vega, L. Well-Posedness and Scattering Results for the Generalized Korteweg-de-Vries Equation via the Contraction Principle. Comm. Pure Appl. Math. 1993, 46, 527-620.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
34
-
-
84894536209
-
Small solutions to nonlinear Schrödinger equations
-
Kenig, C. Ponce, G. Vega, L. Small Solutions to Nonlinear Schrödinger Equations. Ann. Inst. Henri Poincaré 1993, 10, 255-288.
-
(1993)
Ann. Inst. Henri Poincaré
, vol.10
, pp. 255-288
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
35
-
-
0039165707
-
Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
-
Kenig, C.; Ponce, G.; Vega, L. Smoothing Effects and Local Existence Theory for the Generalized Nonlinear Schrödinger Equations. Invent. Math. 1998, 134, 489-545.
-
(1998)
Invent. Math.
, vol.134
, pp. 489-545
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
36
-
-
84990619712
-
Global, small amplitude solutions to nonlinear evolution equations
-
Klainerman, S.; Ponce, G. Global, Small Amplitude Solutions to Nonlinear Evolution Equations. Comm. on Pure and Appl. Math. 1983, 36, 133-141.
-
(1983)
Comm. on Pure and Appl. Math.
, vol.36
, pp. 133-141
-
-
Klainerman, S.1
Ponce, G.2
-
38
-
-
0003042564
-
Microlocal analytic smoothing effect for the Schrödinger equation
-
Robbiano, L.; Zuily, C. Microlocal Analytic Smoothing Effect for the Schrödinger Equation. Duke Math. J. 1999, 100, 93-129.
-
(1999)
Duke Math. J.
, vol.100
, pp. 93-129
-
-
Robbiano, L.1
Zuily, C.2
-
39
-
-
0034354311
-
Effect régularisant microlocal analytique pour l'équation de schrödinger: Le cas des données oscillantes
-
Robbiano, L.; Zuily, C. Effect Régularisant Microlocal Analytique Pour L'équation De Schrödinger: Le Cas Des Données Oscillantes. Comm. PDE 2000, 25, 1891-1906.
-
(2000)
Comm. PDE
, vol.25
, pp. 1891-1906
-
-
Robbiano, L.1
Zuily, C.2
-
40
-
-
0001679726
-
Regularity of solutions to the Schrödinger equations
-
Sjölin, P. Regularity of Solutions to the Schrödinger Equations. Duke Math. J. 1987, 55, 699-715.
-
(1987)
Duke Math. J.
, vol.55
, pp. 699-715
-
-
Sjölin, P.1
-
41
-
-
0039426887
-
On singularities of solutions of the Schrödinger equation for a free particule
-
Shananin, N.-A. On Singularities of Solutions of the Schrödinger Equation for a Free Particule. Mathematical Notes 1994, 55, 626-631.
-
(1994)
Mathematical Notes
, vol.55
, pp. 626-631
-
-
Shananin, N.-A.1
-
42
-
-
0010602648
-
Le problème de cauchy pour certains équations aux dérivées partielles du type de Schrödinger
-
Série I
-
Takeuchi, J. Le Problème De Cauchy Pour Certains Équations Aux Dérivées Partielles Du Type De Schrödinger, C. R. Acad. Sci. Paris, t. 312, Série I, 1991; 341-344.
-
(1991)
C. R. Acad. Sci. Paris
, vol.312
, pp. 341-344
-
-
Takeuchi, J.1
-
43
-
-
38249038489
-
Global strong solutions for nonlinear Schrödinger equation
-
Tsutsumi, Y. Global Strong Solutions for Nonlinear Schrödinger Equation. Nonlinear Anal. 1987, 11, 1143-1154.
-
(1987)
Nonlinear Anal.
, vol.11
, pp. 1143-1154
-
-
Tsutsumi, Y.1
-
44
-
-
0000237067
-
2-Solutions for nonlinear Schrödinger equations and nonlinear groups
-
2-Solutions for Nonlinear Schrödinger Equations and Nonlinear Groups. Funkcialaj Ekvacioj 1987, 31, 115-125.
-
(1987)
Funkcialaj Ekvacioj
, vol.31
, pp. 115-125
-
-
Tsutsumi, Y.1
-
45
-
-
0034259391
-
Effets régularisants et existence locale pour L'équation de Schrödinger non-linéaire à coefficients variables
-
Série I
-
T'Joen, L. Effets Régularisants Et Existence Locale Pour L'équation De Schrödinger Non-Linéaire à Coefficients Variables. C. R. Acad. Sci. Paris, t. 331, Série I, 2000; 375-378.
-
(2000)
C. R. Acad. Sci. Paris
, vol.331
, pp. 375-378
-
-
T'Joen, L.1
-
46
-
-
0000801121
-
The Schrödinger equation: Pointwise convergence to the initial date
-
Vega, L. The Schrödinger Equation: Pointwise Convergence to the Initial Date. Proc. Amer. Math. Soc. 1988, 102, 874-878.
-
(1988)
Proc. Amer. Math. Soc.
, vol.102
, pp. 874-878
-
-
Vega, L.1
-
47
-
-
0001279041
-
Propagation of singularities growth for Schrödinger operators
-
Wunch, J. Propagation of Singularities and Growth for Schrödinger Operators. Duke Math. J. 1999, 98, 137-186.
-
(1999)
Duke Math. J.
, vol.98
, pp. 137-186
-
-
Wunch, J.1
|