Singularities of conormal radially smooth solutions to nonlinear wave equations

DOI10.1080/03605308808820579zbMath0673.35078OpenAlexW2079480300MaRDI QIDQ3826988

Michael Beals

Publication date: 1988

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308808820579

zbMATH Keywords

singularitiesnonlinear wave equationnonlinear waveequationsconormal radially smooth solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20)

Related Items (5)

Nonlinear interaction of three impulsive gravitational waves. II: The wave estimates ⋮ Second microlocal ellipticity and propagation of conormality for semilinear wave equations ⋮ Interactions of semilinear progressing waves in two or more space dimensions ⋮ Singularities Produced in Conormal Wave Interactions ⋮ Interactions of conormal waves for fully semilinear wave equations

Cites Work

• Interaction of nonlinear progressing waves for semilinear wave equations
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations
• Discontinuous progressing waves for semilinear systems
• Singularities produced by the nonlinear interaction of three progressing waves;,examples

This page was built for publication: Singularities of conormal radially smooth solutions to nonlinear wave equations