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Boundary-value problems for higher-order elliptic equations in non-smooth domains
| Content Provider | Semantic Scholar |
|---|---|
| Author | Barton, Ariel Mayboroda, Svitlana |
| Copyright Year | 2012 |
| Abstract | This paper presents a survey of recent results, methods, and open problems in the theory of higher order elliptic boundary value problems on Lipschitz and more general non-smooth domains. The main topics include the maximum principle and pointwise estimates on solutions in arbitrary domains, analogues of the Wiener test governing continuity of solutions and their derivatives at a boundary point, and well-posedness of boundary value problems in domains with Lipschitz boundaries. Mathematics Subject Classification (2000). Primary 35-02; Secondary 35B60, 35B65, 35J40, 35J55. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www-users.math.umn.edu/~svitlana/HistoryWithComposition-Corrections.pdf |
| Alternate Webpage(s) | http://math.umn.edu/~svitlana/HistoryWithComposition-Corrections.pdf |
| Alternate Webpage(s) | http://www.math.umn.edu/~svitlana/HistoryWithComposition-Corrections.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Estimated Mathematics Subject Classification Neoplasm Metastasis Scott continuity Solutions Well-posed problem |
| Content Type | Text |
| Resource Type | Article |
