Standing wave for two-dimensional Schrödinger equations with discontinuous dispersion

被引：0

作者：

Alouini, B. ^{[1
,2
]}

Goubet, O. ^{[3
]}

Manoubi, I. ^{[1
,4
]}

机构：

[1] Fac Sci Monastir, Lab Anal Probabilite & Fractals, Monastir, Tunisia

[2] Univ Monastir, IPEIM, Monastir, Tunisia

[3] Univ Lille, Lille, France

[4] Univ Gabes, ISSAT, Gabes, Tunisia

来源：

APPLICABLE ANALYSIS | 2025年 / 104卷 / 13期

关键词：

Nonlinear Schr & ouml; dinger equation; discontinuous dispersion; standing waves; ground states; orbital stability; SCHRODINGER-EQUATIONS; CAUCHY-PROBLEM;

D O I：

10.1080/00036811.2025.2468506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a two-dimensional semilinear Schr & ouml;dinger equation with a singular anisotropic dispersion on the line $ x_1=0 $ x1=0. We first discuss the existence and uniqueness of standing wave solutions for these equations. We then study the orbital stability of these standing waves into a suitable subspace of the energy space that allows us to use the classical methods.

引用

页码：2414 / 2435

页数：22

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