The maximum and comparison principles for a system of two equations

被引：0

作者：

Portnyagin, D. V. ^{[1
]}

机构：

[1] Inst Condensed Matter Phys, Lvov, Ukraine

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2012年 / 53卷 / 02期

关键词：

nondiagonal parabolic system; nondiagonal elliptic system; maximum principle; comparison principle;

D O I：

10.1134/S0037446612020115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a method of generalizing the well-known maximum and comparison principles to nondiagonal parabolic systems of second order nonlinear differential equations. Under consideration are the cases of Dirichlet and Neumann problems. We also present some examples of the systems that this method applies to.

引用

页码：291 / 300

页数：10

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