Blowup for nonlinear initial-boundary value problems

被引：2

作者：

Galaktionov, V. A. ^{[1
]}

Pohozaev, S. I.

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia

来源：

DOKLADY MATHEMATICS | 2007年 / 75卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S1064562407010218

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The blowup of nonlinear initial-boundary value problems are analyzed. The analysis is based on the construction of subsolutions or on the deviation of suitable differential inequalities for positive functionals of solutions followed by applying the technique of ordinary differential equations. The new class of nonlinear problems is studied by the application of the nonlinear capacity method. This method offers the solution of a wide range of nonlinear problems and yields sharp characteristics for solution blowup in suitable terms.

引用

页码：76 / 79

页数：4