On quasilinear non-uniformly parabolic equations in general form

被引：9

作者：

Tersenov, AS ^{[1
]}

机构：

[1] Univ Crete, Dept Math, Heraklion 71409, Crete, Greece

[2] MA Lavrentev Hydrodynam Inst, Novosibirsk, Russia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 142卷 / 02期

关键词：

D O I：

10.1006/jdeq.1997.3352

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is concerned with the first boundary value problem for a certain class of quasilinear non-uniformly parabolic equations. New a priori estimates of the solution and of its gradient are obtained. These are independent of the smoothness of the coefficients. Existence and uniqueness theorems are proved. (C) 1998 Academic Press.

引用

页码：263 / 276

页数：14

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