Sharp conditions of global existence for the quasilinear Schrodinger equation

被引：1
|
作者：
Zhang, J. [1 ,2 ]
Shu, J. [1 ,2 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
[2] Sichuan Normal Univ, Sichuan Prov Key Lab Comp Software, Chengdu 610066, Peoples R China
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2008年 / 42卷 / 02期
基金：
中国国家自然科学基金;
关键词：
quasilinear Schrodinger equation; blow-up; global existence; sharp condition;
D O I：
10.1007/s10688-008-0019-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper discusses a class of quasilinear Schrodinger equations describing the upper-hybrid oscillation propagation. By establishing a cross-constrained variational problem and a so-called invariant flow, we obtain a sharp condition for blow-up and global existence of solutions of the Cauchy problem.
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页码：135 / 140
页数：6
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