Abstract
A test for a function to be a solution of an elliptic PDE is given in terms of extensions, as solutions, from the boundaries inside the domains belonging to an isotopic family. It generalizes a result of Ehrenpreis for spheres moved along a straight line.
Original language | English |
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Pages (from-to) | 2117-2123 |
Number of pages | 7 |
Journal | Proceedings of the American Mathematical Society |
Volume | 134 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2006 |
Keywords
- Contact manifolds
- Dirichlet-Neumann problem
- Green's formula