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.
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页码：4256 / 4272
页数：16
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