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

Download Full-text

Smoothing effect for regularized Schrödinger equation on compact manifolds

Collectanea mathematica ◽

10.1007/bf03191181 ◽

2008 ◽

Vol 59 (1) ◽

pp. 53-62 ◽

Author(s):

L. Aloui

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Compact Manifolds ◽

Smoothing Effect

Download Full-text

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 ◽

Author(s):

Olivier Goubet

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Smoothing Effect ◽

Nonlinear Schrödinger

Download Full-text

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

Download Full-text

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 ◽

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

Download Full-text

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 ◽

Author(s):

Andre Martinez ◽

Shu Nakamura ◽

Vania Sordoni

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Smoothing Effect ◽

Analytic Smoothing Effect ◽

Range Perturbation

Download Full-text

Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.10.011 ◽

2017 ◽

Vol 296 ◽

pp. 23-32

Author(s):

Jiaxiang Cai ◽

Hua Liang ◽

Bin Yang

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Download Full-text

Remark on the Kato Smoothing Effect for Schrödinger Equation with Superquadratic Potentials

Communications in Partial Differential Equations ◽

10.1080/03605300701517861 ◽

2008 ◽

Vol 33 (4) ◽

pp. 718-727 ◽

Author(s):

Luc Robbiano ◽

Claude Zuily

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Smoothing Effect

Download Full-text

Local smoothing effect on the Schrödinger equation with harmonic potential

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.06.060 ◽

2014 ◽

Vol 409 (1) ◽

pp. 28-40

Author(s):

Daoyuan Fang ◽

Zheng Han

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Harmonic Potential ◽

Smoothing Effect ◽

Local Smoothing

Download Full-text

Remarks on analytic smoothing effect for the Schrödinger equation

Mathematische Zeitschrift ◽

10.1007/s00209-008-0334-5 ◽

2008 ◽

Vol 261 (3) ◽

pp. 511-524 ◽

Author(s):

T. Ozawa ◽

K. Yamauchi

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Smoothing Effect ◽

Analytic Smoothing Effect

Download Full-text

Decay of local energy for solutions of the free Schrödinger equation in exterior domains

Kyoto Journal of Mathematics ◽

10.1215/21562261-2019-0050 ◽

2020 ◽

Vol 60 (3) ◽

pp. 911-939

Author(s):

N. Burq ◽

B. Ducomet

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Local Energy ◽

Exterior Domains

Download Full-text