INTERIOR DERIVATIVE BLOW-UP FOR QUASILINEAR PARABOLIC EQUATIONS

被引：33

作者：

Giga, Yoshikazu ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 1995年 / 1卷 / 03期

关键词：

D O I：

10.3934/dcds.1995.1.449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give examples of a bounded solution whose gradient blows up in a finite time but it stays bounded on the boundary for a class of quasilinear parabolic equations with zero boundary data. The method reflects a geometric argument for curve evolution equations.

引用

页码：449 / 461

页数：13