Long-time behavior of solutions to a fourth-order nonlinear Schroedinger equation with critical nonlinearity
Long-time behavior of solutions to a fourth-order nonlinear Schroedinger equation with critical nonlinearity
复制标题
具有临界非线性的四阶非线性薛定谔方程解的长期行为
DOI：
10.1007/s00028-021-00737-8
复制
发表时间：
2021
影响因子：
1.4
通讯作者：
Kota Uriya
中科院分区：
文献类型：
--
作者：
Mamoru Okamoto;Kota Uriya
研究了一类具有导数非线性的四阶非线性Schrödinger （NLS）方程解的长时性。利用波包检验的方法，构造了一个近似解，并证明了四阶NLS的解与线性解具有相同的衰减估计。我们证明了自相似解是渐近性的先导部分。
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.