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Definability results for the Poisson equation by Tobias Kaiser is a Mathematics article available to read on EtoBox.
What is Definability results for the Poisson equation about?
## Abstract We show that the solution of the Poisson equation with subanalytic data on a bounded subanalytic domain in the plane without isolated boundary points exists and we prove that the solution is definable in the o-minimal structure R~an; exp~, provided that the domain has smooth boundary. Moreover, we investigate whether the solution is again subanalytic. At the end, we study polygons as examples of domains with nonsmooth boundary.
Who reads Definability results for the Poisson equation?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Tobias Kaiser
- Publisher
- Walter de Gruyter GmbH
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)