Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data.

DOI10.1016/S0022-0396(03)00106-2zbMath1036.35136OpenAlexW2000888432MaRDI QIDQ1419819

Ingo Witt, Hui Cheng Yin

Publication date: 26 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00106-2

zbMATH Keywords

commutator techniquediscontinuous Cauch dataStrichartz' inequality

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Singularity in context of PDEs (35A21)

Related Items (4)

Existence and regularity of solution to the generalized Tricomi equation with a singular initial datum at a point ⋮ On the singularities of solutions to 4-D semilinear dispersive wave equations ⋮ HYPERBOLIC SMOOTHING EFFECT FOR SEMILINEAR WAVE EQUATIONS AT A FOCAL POINT ⋮ Global singularity structures of weak solutions to 4- semilinear dispersive wave equations

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• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Decay estimates for the critical semilinear wave equation

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