Abstract
We prove a unique continuation result for an ill-posed characteristic problem. A model problem of this type occurs in the A. D. Ionescu and S. Klainerman article (Theorem 1.1 in [11]) 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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Lerner, N. Unique continuation through transversal characteristic hypersurfaces. JAMA 138, 135–156 (2019). https://doi.org/10.1007/s11854-019-0023-9
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DOI: https://doi.org/10.1007/s11854-019-0023-9