Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
Strong instability of standing waves for nonlinear Schr\"odinger equations with a delta potential
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发表时间：
2014-11
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通讯作者：
Masahito Ohta;Takahiro Yamaguchi
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作者：
Masahito Ohta;Takahiro Yamaguchi
研究了一维空间中具有吸引δ势和$L^2$-超临界幂非线性项的非线性Schr“odinger方程驻波解的强不稳定性（爆破不稳定性）.我们还比较了我们的强不稳定性的充分条件与一些已知的轨道不稳定性的结果。
We study strong instability (instability by blowup) of standing wave solutions for a nonlinear Schr\"odinger equation with an attractive delta potential and $L^2$-supercritical power nonlinearity in one space dimension. We also compare our sufficient condition on strong instability with some known results on orbital instability.