Arxiv
| Presentation Name： | Unique continuation through transversal characteristic hypersurfaces |
|---|---|
| Presenter： | Nicolas Lerner |
| Date： | 2019-10-17 |
| Location： | 光华东主楼2001 |
| Abstract： | We prove a unique continuation result for an ill-posed characteristic problem. A model problem of this type occurs in A.D. Ionescu & S. Klainerman article (Theorem 1.1 in [MR2470908]) and we extend their model-result using only geometric assumptions. The main tools are Carleman estimates and Hörmander's pseudo-convexity conditions. Our paper is published by the Journal d'Analyse Mathématique,138, (2019), no.1, 135-156. |
| Annual Speech Directory： | No.214 |
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