非线性Sobolev-Galpern方程解的blow up  

Blow-up of Solutions for the Nonlinear Sobolev-Galpern Equations

作　　者：尚亚东[1] 

机构地区：[1]西安石油学院基础部,陕西西安710065

出　　处：《应用数学》2000年第3期35-39,共5页Mathematica Applicata

基　　金：国家自然科学基金资助项目!(199710 6 8)

摘　　要：本文研究非线性 Sobolev-Galpern方程的初边值问题整体解的不存在性即解的爆破问题 .用能量估计方法并借助于 Jensen不等式证明了非线性In this paper we study the nonexistence of global solutions for the initial boundary value problems of the nonlinear Sobolev Galpern equations, i.e. the blow up problems of solutions. By using a energy estimate method and with the aid of Jensen's inequality, we proved that the initial boundary value problems mentioned in the paper have no global solution under certain assumptions on the nonlinear function and the initial data satisfy certain conditions, that is the solutions of the initial boundary value problems of the equations blow up in finite time.

关 键 词：非线性SOBOLEV-GALPERN方程 解 BLOW-UP 

分 类 号：O175.26[理学—数学] O175.29[理学—基础数学]