Geometric microlocal analysis in Denjoy-Carleman classes

DOI10.2140/pjm.2020.307.303zbMath1451.35007arXiv1805.11320OpenAlexW3102791375MaRDI QIDQ2206209

Stefan Fürdös

Publication date: 22 October 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.11320

zbMATH Keywords

elliptic regularityBony's theoremquasianalytic uniqueness theoremsultradifferentiable wavefront set

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Geometric theory, characteristics, transformations in context of PDEs (35A30) (C^infty)-functions, quasi-analytic functions (26E10) Wave front sets in context of PDEs (35A18) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

A new microlocal analysis of hyperfunctions ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ Ultradifferentiable CR manifolds ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a nonlinear PDE ⋮ Upper bounds on the size of nodal sets for Gevrey and quasianalytic Riemannian manifolds ⋮ Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis

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