Kaiser, Tobias (2006) Definability results for the Poisson equation. ADVANCES IN GEOMETRY, 6 (4). pp. 627-644. ISSN 1615-715X,
Full text not available from this repository. (Request a copy)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,R-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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SUBANALYTIC SETS; EXPANSIONS; FIELD; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2021 06:06 |
| Last Modified: | 01 Mar 2021 06:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35044 |
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