INTERIOR DERIVATIVE BLOW-UP FOR QUASILINEAR PARABOLIC EQUATIONS

被引：32
|
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.
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页码：449 / 461
页数：13
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