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Remarks on Holmgren’s uniqueness theorem. (English) Zbl 0804.35004
This paper surveys known results connecting the analytic wave front set of a hyperfunction and the conormal set of the support, and extends them to new wider definitions of conormal sets taking curvature properties of the boundary into account. As applications uniqueness theorems for solutions of differential equations with analytic coefficients are given.
Reviewer: L.Hörmander

MSC:
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
58J15 Relations of PDEs on manifolds with hyperfunctions
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