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.
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页码：136 / 144
页数：8
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