Interaction of low regularity waves∗

DOI10.1080/03605309708821327zbMath0892.35103OpenAlexW1972583248MaRDI QIDQ4385687

Linda M. Holt

Publication date: 20 April 1998

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

Full work available at URL: https://doi.org/10.1080/03605309708821327

zbMATH Keywords

Sobolev regularitymicrolocal and local interaction

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) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Higher-order hyperbolic systems (35L55)

Cites Work

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• Interaction of progressing waves for semilinear wave equations. II
• Propagation of singularities for semilinear hyperbolic equations in one space variable
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Second microlocal ellipticity and propagation of conormality for semilinear wave equations
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Evolution of semilinear waves with swallowtail singularities
• Singularities produced by the nonlinear interaction of three progressing waves;,examples
• Space‐time estimates for null forms and the local existence theorem
• Singularities Produced in Conormal Wave Interactions
• Low regularity local solutions for field equations

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