REGULARITY OF WEAK SOLUTIONS OF SEMILINEAR PARABOLIC-SYSTEMS OF ARBITRARY ORDER

被引：4

作者：

GRUNAU, HC ^{[1
]}

VONWAHL, W ^{[1
]}

机构：

[1] UNIV BAYREUTH,LEHRSTUHL ANGEW MATH,W-8580 BAYREUTH,GERMANY

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 1994年 / 62卷

关键词：

D O I：

10.1007/BF02835960

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let u be a weak solution of the initial boundary value problem for the semilinear parabolic system of order 2m : u'(t) + Au(t) + f (t, ., u, ..., del(m)u) = 0. Let f satisfy controllable growth conditions. Then u is smooth. This result is proved by a kind of continuity method, where the time t is the parameter of continuity.

引用

页码：307 / 322

页数：16

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