Unique continuation through transversal characteristic hypersurfaces
Analysis of PDEs
2017-04-04 v2
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 H\"ormander's pseudo-convexity conditions.
Cite
@article{arxiv.1601.07814,
title = {Unique continuation through transversal characteristic hypersurfaces},
author = {Nicolas Lerner},
journal= {arXiv preprint arXiv:1601.07814},
year = {2017}
}
Comments
20 pages, 1 figure, to appear in the Journal d'Analyse Math\'ematique