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Stability of Unique Solvability in an Ill-Posed Dirichlet Problem

✍ Scribed by I. G. Tsar'kov

Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
218 KB
Volume
79
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

Wiener’s criterion for the unique solvab
Wiener’s criterion for the unique solvability of the Dirichlet problem in arbitrary open sets with non-compact boundaries
✍ Ugur G. Abdulla πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 238 KB

This paper establishes a necessary and sufficient condition for the existence of a unique bounded solution to the classical Dirichlet problem in arbitrary open subset of R N (N β‰₯ 3) with a non-compact boundary. The criterion is the exact analogue of Wiener's test for the boundary regularity of harmo