Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity

被引：0

作者：

Mamoru Okamoto

Kota Uriya

机构：

[1] Osaka University,Department of Mathematics, Graduate School of Science

[2] Okayama University of Science,Department of Applied Mathematics, Faculty of Science

来源：

Journal of Evolution Equations | 2021年 / 21卷

关键词：

Fourth-order Schrödinger equation; Asymptotic behavior; Scattering; Self-similar solution; 35Q55; 35B40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the long-time behavior of solutions to a fourth-order nonlinear Schrödinger (NLS) equation with a derivative nonlinearity. By using the method of testing by wave packets, we construct an approximate solution and show that the solution for the fourth-order NLS has the same decay estimate for linear solutions. We prove that the self-similar solution is the leading part of the asymptotic behavior.

引用

页码：4897 / 4929

页数：32

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