The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data

DOI10.1007/BF02248745zbMath0842.35058MaRDI QIDQ4869703

Shuxing Chen, Daoyuan Fang

Publication date: 12 March 1996

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

singular initial datasingularity propagationconormal regularitymultidimensional semilinear strictly hyperbolic equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (3)

Analysis of strong singularities for nonlinear hyperbolic equations ⋮ Multidimensional Goursat problem for semilinear hyperbolic equations ⋮ Multidimensional Goursat problem for semilinear wave equations

Cites Work

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• Interaction of nonlinear progressing waves for semilinear wave equations
• The Cauchy problem for semilinear hyperbolic systems with discontinuous data
• The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
• The interaction of nonlinear hyperbolic waves
• Multidimensional riemann problem for smilinear wave equations

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