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arXiv · 1601.07814

Unique continuation through transversal characteristic hypersurfaces

Nicolas Lerner
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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 \cite{MR2470908}) and we extend their model-result using only geometric assumptions. The main tools are Carleman estimates and Hörmander's pseudo-convexity conditions.

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Nicolas Lerner. 2017-04-03. Unique continuation through transversal characteristic hypersurfaces. https://arxiv.org/abs/1601.07814

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