A generalization of Borel's theorem and microlocal Gevrey regularity in involutive structures

DOI10.1016/j.jde.2008.03.016zbMath1158.35006OpenAlexW2058678651MaRDI QIDQ952526

Ziad Adwan, Gustavo Hoepfner

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.03.016

zbMATH Keywords

FBI transformGevrey wave-front setmaximally real submanifoldsultradistribution

Mathematics Subject Classification ID

Related Items (6)

Gevrey micro-regularity for solutions to first order nonlinear PDE ⋮ MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS ⋮ On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs ⋮ Denjoy-Carleman classes: boundary values, approximate solutions and applications ⋮ Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs ⋮ Approximate solutions and micro-regularity in the Denjoy-Carleman classes

Cites Work

• Unnamed Item
• Unnamed Item
• Microlocal hypo-analyticity and extension of CR functions
• Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
• Edge of the wedge theory in involutive structures
• Intermediate optimal gevrey exponents occur
• Edge of the Wedge Theory in Hypo-analytic Manifolds

This page was built for publication: A generalization of Borel's theorem and microlocal Gevrey regularity in involutive structures