Analytic smoothing effect for the Schrödinger equation with long-range perturbation

Andre Martinez; Shu Nakamura; Vania Sordoni

doi:10.1002/cpa.20112

Analytic smoothing effect for the Schrödinger equation with long-range perturbation

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20112 ◽

2006 ◽

Vol 59 (9) ◽

pp. 1330-1351 ◽

Cited By ~ 14

Author(s):

Andre Martinez ◽

Shu Nakamura ◽

Vania Sordoni

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Schrodinger Equation ◽

Smoothing Effect ◽

Analytic Smoothing Effect ◽

Range Perturbation

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Analytic smoothing effect for the Schrödinger equation relative to the harmonic oscillator equation

Asymptotic Analysis ◽

10.3233/asy-2008-0924 ◽

2009 ◽

Vol 63 (1-2) ◽

pp. 29-48

Author(s):

Amel Atallah Baraket ◽

Chokri Mechergui

Keyword(s):

Schrödinger Equation ◽

Harmonic Oscillator ◽

Schrodinger Equation ◽

Smoothing Effect ◽

Analytic Smoothing Effect

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Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.04.057 ◽

2014 ◽

Vol 419 (1) ◽

pp. 285-297 ◽

Cited By ~ 16

Author(s):

Gaku Hoshino ◽

Tohru Ozawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Smoothing Effect ◽

Nonlinear Schrödinger ◽

Quintic Nonlinearity ◽

Analytic Smoothing Effect

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Remarks on analytic smoothing effect for the Schrödinger equation

Mathematische Zeitschrift ◽

10.1007/s00209-008-0334-5 ◽

2008 ◽

Vol 261 (3) ◽

pp. 511-524 ◽

Cited By ~ 9

Author(s):

T. Ozawa ◽

K. Yamauchi

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Smoothing Effect ◽

Analytic Smoothing Effect

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Propagation of Analytic Singularities for Short and Long Range Perturbations of the Free Schrödinger Equation

Algebraic and Analytic Microlocal Analysis - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-01588-6_12 ◽

2018 ◽

pp. 575-587

Author(s):

André Martinez ◽

Shu Nakamura ◽

Vania Sordoni

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Schrodinger Equation ◽

Analytic Singularities

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Beyond Nonlinear Schrodinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interactions

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2001.8.supplement.24 ◽

2001 ◽

Vol 8 (Supplement) ◽

pp. 139

Author(s):

D GRECU ◽

Anca VISINESCU ◽

A S CARSTEA

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Long Range Interactions

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Local energy decay and smoothing effect for the damped Schrödinger equation

Analysis & PDE ◽

10.2140/apde.2017.10.1285 ◽

2017 ◽

Vol 10 (6) ◽

pp. 1285-1315

Author(s):

Moez Khenissi ◽

Julien Royer

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Energy Decay ◽

Local Energy ◽

Smoothing Effect

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Smoothing effect for regularized Schrödinger equation on compact manifolds

Collectanea mathematica ◽

10.1007/bf03191181 ◽

2008 ◽

Vol 59 (1) ◽

pp. 53-62 ◽

Cited By ~ 7

Author(s):

L. Aloui

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Compact Manifolds ◽

Smoothing Effect

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Asymptotic Smoothing Effect for a Weakly Damped Nonlinear Schrodinger Equation in T2

Journal of Differential Equations ◽

10.1006/jdeq.2000.3763 ◽

2000 ◽

Vol 165 (1) ◽

pp. 96-122 ◽

Cited By ~ 14

Author(s):

Olivier Goubet

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Smoothing Effect ◽

Nonlinear Schrödinger

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Asymptotics of a Time-Splitting Scheme for the Random Schrödinger Equation with Long-Range Correlations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2013113 ◽

2014 ◽

Vol 48 (2) ◽

pp. 411-431 ◽

Cited By ~ 1

Author(s):

Christophe Gomez ◽

Olivier Pinaud

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Schrodinger Equation ◽

Splitting Scheme ◽

Long Range Correlations ◽

Time Splitting

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On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case

Annales de l’institut Fourier ◽

10.5802/aif.1730 ◽

1999 ◽

Vol 49 (5) ◽

pp. 1581-1602 ◽

Cited By ~ 9

Author(s):

Yannick Gâtel ◽

Dimitri Yafaev

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Schrodinger Equation ◽

Radiation Conditions ◽

Conditions At Infinity

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