Viscosity solution theory of a class of nonlinear degenerate parabolic equations I. Uniqueness and existence of viscosity solutions

被引：1

作者：

Zhan Y. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Tsinghua University

来源：

Acta Mathematicae Applicatae Sinica | 1997年 / 13卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Anisotropic; Degenerate; p-Laplacian; Viscosity solution;

D O I：

10.1007/BF02015135

中图分类号：

学科分类号：

摘要：

In this part we construct a unique bounded Hölder continuous viscosity solution for the nonlinear PDEs with the evolution p-Laplacian equation and its anisotropic version as typical examples. The existence and properties of free boundaries will be discussed in part II.

引用

页码：136 / 144

页数：8

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