HYPERBOLIC SMOOTHING EFFECT FOR SEMILINEAR WAVE EQUATIONS AT A FOCAL POINT

DOI10.1142/S0219891609001745zbMath1178.35265MaRDI QIDQ3636280

Jianfeng Liang

Publication date: 30 June 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear wavesjump discontinuitydissipative wave equationgain of regularity after collision

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

A singular initial value problem and self-similar solutions of a nonlinear dissipative wave equation

Cites Work

• Nonlinear superposition and absorption of delta waves in one space dimension
• Monotone (nonlinear) operators in Hilbert space
• Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data.
• Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations)
• On continuity of functions with values in various Banach spaces
• Discontinuous progressing waves for semilinear systems

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