An example of new singularities in the semi-linear interaction of a cusp and a plane

DOI10.1080/03605309408821039zbMath0797.35126OpenAlexW2017250834MaRDI QIDQ4299400

Maciej Zworski

Publication date: 22 August 1994

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

Full work available at URL: https://doi.org/10.1080/03605309408821039

zbMATH Keywords

semilinear strictly hyperbolic equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Higher-order hyperbolic systems (35L55)

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Cites Work

• Self-spreading and strength of singularities for solutions to semilinear wave equations
• Second microlocal ellipticity and propagation of conormality for semilinear wave equations
• Singularities produced by the nonlinear interaction of three progressing waves;,examples