A priori estimates for solutions to systems of nonlinear parabolic equations

被引：0

作者：

Belopolskaya Ya.

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 92卷 / 6期

关键词：

Cauchy Problem; Maximum Principle; Parabolic Equation; Viscosity Solution; Elliptic Operator;

D O I：

10.1007/BF02433434

中图分类号：

学科分类号：

摘要：

A class of nondiagonal systems of nonlinear parabolic equations that can be reduced to a scalar parabolic equation in the phase space of a larger dimension is described. In view of such a reduction, it is possible to state the maximum principle for solutions to systems of nonlinear parabolic equations and derive a priori C2+α-estimates for a solution to the Cauchy problem. ©1998 Plenum Publishing Corporation.

引用

页码：4256 / 4272

页数：16

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