Viscosity solutions of second order partial differential equations with boundary conditions on Riemannian manifolds

被引：1

作者：

Khajehpour, S. ^{[1
]}

Pouryayevali, M. R. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, POB 81745-163, Esfahan, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 146卷

关键词：

Dirichlet boundary condition; Neumann boundary condition; Proper second order PDEs; Riemannian manifold; Viscosity solution;

D O I：

10.1016/j.na.2016.08.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The comparison, uniqueness and existence for viscosity solution to a class of fully nonlinear second order partial differential equations with boundary condition on a finite dimensional Riemannian manifold are studied. Some results regarding the regularity of the boundary are obtained. These results show that every compact manifold with C-1,C-1 boundary satisfies the regularity condition. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：211 / 232

页数：22

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