| Autor: |
Bell, S. R., Ebenfelt, P., Khavinson, D., Shapiro, H. S. |
| Předmět: |
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| Zdroj: |
Complex Variables & Elliptic Equations; Feb2007, Vol. 52 Issue 2-3, p235-244, 10p |
| Abstrakt: |
We consider the Dirichlet problem for the Laplace operator with rational data on the boundary of a planar domain. Our main results include a characterization of the disk as the only domain for which all solutions are rational, and a characterization of the simply connected quadrature domains as the only ones for which all solutions are algebraic of a certain type. This note is an exposition, and full details will appear in a forthcoming paper. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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