带混合非线性项的非线性薛定谔方程驻波解的强不稳定性  

Strong Instability of Standing Wave Solutions for the Nonlinear Schrodinger Equation with Mixed Nonlinearities

作　　者：赵利芳 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2023年第3期405-415,共11页Pure Mathematics

摘　　要：本文主要研究了如下带有混合的幂形式和卷积形式非线性项的非线性薛定谔方程驻波解的强不稳定性其中并且是复值函数.当时,通过建立爆破准则,证明了驻波解的强不稳定性。In this paper, we consider the strong instability of standing wave solutions for the nonlinear Schrodinger equation with mixed power-type and Choquard-type nonlinearities Where , and is the complex function with When and we prove the strong instability of standing wave solutions by using blow-up criterion.

关 键 词：非线性薛定谔方程 驻波解 爆破准则 强不稳定性 

分 类 号：O17[理学—数学]