INITIAL-BOUNDARY VALUE PROBLEM AND CAUCHY PROBLEM FOR A QUASILINEAR EVOLUTION EQUATION

被引：2
|
作者：
杨志坚
机构：
来源：
Acta Mathematica Scientia | 1999年 / S1期
基金：
中国国家自然科学基金;
关键词：
Initial-boundary value problem; Cauchy problem; quasilinear evolution equation; local solution; blowup;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In the present paper,the local existence of classical solutions to the periodic boundary problem and the Cauchy problem of a quasilinear evolution equation are studied under the assumptions that do not require the monotonicity of σi(s) (i= 1,…, n). The nonexistence of global solutions to the initial-boundary value problem of the equation is also discussed, a blowup theorem is proved and a concrete example is given.
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页码：487 / 496
页数：10
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