Energy Scattering for the Unsteady Damped Nonlinear Schrödinger Equation

Makram Hamouda; Mohamed Majdoub

doi:10.1007/s00009-025-02813-6

Energy Scattering for the Unsteady Damped Nonlinear Schrödinger Equation

Makram Hamouda
, Mohamed Majdoub^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.

Original language	English
Article number	44
Journal	Mediterranean Journal of Mathematics
Volume	22
Issue number	2
DOIs	https://doi.org/10.1007/s00009-025-02813-6
State	Published - Mar 2025

Keywords

Damped NLS equation
loss dissipation
scattering

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title = "Energy Scattering for the Unsteady Damped Nonlinear Schr{\"o}dinger Equation",

abstract = "We investigate the large time behavior of the solutions to the nonlinear focusing Schr{\"o}dinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.",

keywords = "Damped NLS equation, loss dissipation, scattering",

author = "Makram Hamouda and Mohamed Majdoub",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.",

year = "2025",

month = mar,

doi = "10.1007/s00009-025-02813-6",

language = "English",

volume = "22",

journal = "Mediterranean Journal of Mathematics",

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number = "2",

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TY - JOUR

T1 - Energy Scattering for the Unsteady Damped Nonlinear Schrödinger Equation

AU - Hamouda, Makram

AU - Majdoub, Mohamed

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

PY - 2025/3

Y1 - 2025/3

N2 - We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.

AB - We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non-classical assumptions on the unsteady damping term, we prove some scattering results in the energy space.

KW - Damped NLS equation

KW - loss dissipation

KW - scattering

UR - https://www.scopus.com/pages/publications/85218690595

U2 - 10.1007/s00009-025-02813-6

DO - 10.1007/s00009-025-02813-6

M3 - Article

AN - SCOPUS:85218690595

SN - 1660-5446

VL - 22

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 2

M1 - 44

ER -

Energy Scattering for the Unsteady Damped Nonlinear Schrödinger Equation

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Keywords

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