Unique continuation through transversal characteristic hypersurfaces
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 H\"ormander's pseudo-convexity conditions.
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