On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's

DOI10.2307/2160654zbMath0848.35024OpenAlexW4237279478MaRDI QIDQ4874137

Claudio Hirofume Asano

Publication date: 24 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160654

zbMATH Keywords

characteristic setwave-front set

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Fourier integral operators applied to PDEs (35S30)

Related Items (11)

Analyticity and Smoothness for a Class of First Order Nonlinear PDEs ⋮ Gevrey micro-regularity for solutions to first order nonlinear PDE ⋮ Microglobal regularity and the global wavefront set ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a 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 ⋮ On microlocal analyticity of solutions of first-order nonlinear PDE ⋮ Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform

This page was built for publication: On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's