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
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。
Abstract: 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.
文章引用：赵利芳. 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[J]. 理论数学, 2023, 13(3): 405-415. https://doi.org/10.12677/PM.2023.133044

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