EXISTENCE OF GENERALIZED SOLUTION AND ORBITAL STABILITY OF STANDING WAVES FOR NONLINEAR SINGULAR SCHRDINGER EQUATION

被引：0

作者：

张波

机构：

[1] Inst. of Sys. Sci.

[2] Academia Sinica

[3] Beijing

[4] China

来源：

Acta Mathematica Scientia | 1989年 / 04期

关键词：

召刀; DINGER EQUATION; EXISTENCE OF GENERALIZED SOLUTION AND ORBITAL STABILITY OF STANDING WAVES FOR NONLINEAR SINGULAR SCHR;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The existence of generalized solution to the initial value problem iut+△u+k/（xN）uXN+q（x）u+|u|p-1u=0 on RN is studied, By Galerkin method, we prove that the solution always exists for every initial value in H1（RN; k） if 1<p<（N+k）/（N+k-2）, N≥2. Finally, we prove orbital stability of standing waves for nonlinear singular Schr（?）dinger equation.

引用

页码：373 / 383

页数：11

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