BLOW-UP AT THE BOUNDARY FOR DEGENERATE SEMILINEAR PARABOLIC EQUATIONS

被引：103

作者：

FLOATER, MS

机构：

[1] Senter for Industriforskning, Oslo 1, 0314, Blindern

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1991年 / 114卷 / 01期

关键词：

D O I：

10.1007/BF00375685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper treats a superlinear parabolic equation, degenerate in the time derivative. It is shown that the solution may blow up in finite time. Moreover, it is proved that for a large class of initial data, blow-up occurs at the boundary of the domain when the nonlinearity is no worse than quadratic. Various estimates are obtained which determine the asymptotic behaviour near the blow-up. The mathematical analysis is then extended to equations with other degeneracies.

引用

页码：57 / 77

页数：21