Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations

DOI10.1080/03605309908820716zbMath0711.35080OpenAlexW2001799765MaRDI QIDQ3496640

Jeffrey Rauch, Guy Metivier

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03605309908820716

zbMATH Keywords

semilinear strictly hyperbolic systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) First-order hyperbolic systems (35L40)

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Creation and propagation of logarithmic singularities by interaction of two piecewise smooth progressing waves ⋮ Singularities of conormal radially smooth solutions to nonlinear wave equations ⋮ On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data ⋮ Interaction of conormal waves with strong and weak singularities for semi-linear equations ⋮ Global singularity structures of weak solutions to 4- semilinear dispersive wave equations

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