Approximate solutions and micro-regularity in the Denjoy-Carleman classes

DOI10.1016/j.jde.2010.05.002zbMath1205.35008OpenAlexW2065450931MaRDI QIDQ710898

Ziad Adwan, Gustavo Hoepfner

Publication date: 22 October 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.002

zbMATH Keywords

\(M\)-approximate solutions

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for linear first-order PDEs (35F10)

Related Items (10)

Microglobal regularity and the global wavefront set ⋮ The FBI transforms and their use in microlocal analysis ⋮ Characterization of Gevrey Regularity by a Class of FBI Transforms ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a nonlinear PDE ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS ⋮ FBI transform characterization of ultradifferentiablity on maximally real submanifolds ⋮ On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs ⋮ Denjoy-Carleman classes: boundary values, approximate solutions and applications ⋮ Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform

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