Interior Boundaries for Degenerate Elliptic Equations and Viscosity Solutions

被引：0
|
作者：
Georgi Chobanov
Nikolai Kutev
机构：
[1] Institute for Mathematics and Informatics,
[2] Bulgarian Academy of Sciences,undefined
来源：
Mediterranean Journal of Mathematics | 2012年 / 9卷
关键词：
Primary 35J70; Secondary 35J15; 35D05; Linear degenerate elliptic equations; viscosity solutions;
D O I：
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中图分类号：
学科分类号：
摘要：
Linear elliptic equations which are degenerate elliptic on a closed interior surface Γ which divides in two separate parts the original domain are considered. Existence and uniqueness of a viscosity solution in the whole domain and in every of the subdomains is proved under some conditions on the geometry of Γ.
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页码：789 / 801
页数：12
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