Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on <mml:semantics><mml:msup>Rd</mml:msup>xT</mml:semantics>

被引：0

作者：

Saker, Taim ^{[1
]}

Tarulli, Mirko ^{[1
,2
]}

Venkov, George ^{[3
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria

[2] Amer Univ Bulgaria, Math & Sci Dept, 1 Georgi Izmirliev Sq, Blagoevgrad 2700, Bulgaria

[3] Tech Univ Sofia, Fac Appl Math & Informat, Dept Math Anal & Differential Equat, Sofia 1756, Bulgaria

来源：

AXIOMS | 2025年 / 14卷 / 06期

关键词：

nonlinear Schr & ouml; dinger equations; Schr & ouml; dinger operators; scattering theory; local nonlinearity; damping; SCHRODINGER-EQUATION; WELL-POSEDNESS; DECAY;

D O I：

10.3390/axioms14060447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will show, in any space dimension d >= 3, the decay and scattering in the energy space for the solution to the damped nonlinear Schr & ouml;dinger equation posed on RdxT and initial data in H1(RdxT). We will also derive new bilinear Morawetz identities and corresponding localized Morawetz estimates.

引用

页数：16

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