Interior Boundaries for Degenerate Elliptic Equations and Viscosity Solutions |
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| Authors: | Georgi Chobanov Nikolai Kutev |
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| Affiliation: | 1. Institute for Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonhcev Str., Bl. 8, 1113, Sofia, Bulgaria
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| Abstract: | 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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