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Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities
Transactions of the American Mathematical Society ( IF 1.3 ) Pub Date : 2020-11-25 , DOI: 10.1090/tran/8269 Noriyoshi Fukaya , Masayuki Hayashi
Transactions of the American Mathematical Society ( IF 1.3 ) Pub Date : 2020-11-25 , DOI: 10.1090/tran/8269 Noriyoshi Fukaya , Masayuki Hayashi
We consider a nonlinear Schr\"odinger equation with double power nonlinearity \begin{align*} i\partial_t u+\Delta u-|u|^{p-1}u+|u|^{q-1}u=0,\quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end{align*} where $1
具有双幂非线性的非线性薛定谔方程的代数驻波不稳定性
我们考虑一个具有双幂非线性的非线性 Schr\"odinger 方程 \begin{align*} i\partial_t u+\Delta u-|u|^{p-1}u+|u|^{q-1}u=0, \quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end{align*} 其中 $1
更新日期:2020-11-25
中文翻译:
具有双幂非线性的非线性薛定谔方程的代数驻波不稳定性
我们考虑一个具有双幂非线性的非线性 Schr\"odinger 方程 \begin{align*} i\partial_t u+\Delta u-|u|^{p-1}u+|u|^{q-1}u=0, \quad (t,x)\in\mathbb{R}\times\mathbb{R}^N, \end{align*} 其中 $1