On the singularities of solutions to 4-D semilinear dispersive wave equations

DOI10.1007/BF02836922zbMath1092.35066MaRDI QIDQ3379088

Ning Xu, Hui Cheng Yin

Publication date: 6 April 2006

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

pseudo-differential operatorStrichartz inequalitysingular initial datadispersive wave equationcommutator argument techniquesconormal initial data

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Self-spreading and strength of singularities for solutions to semilinear wave equations
• Interaction of nonlinear progressing waves for semilinear wave equations
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Singularities of solutions to semilinear wave equations
• Decay estimates for the critical semilinear wave equation
• Regularity results for nonlinear wave equations
• Interaction of tangent conormal waves for higher-order nonlinear strictly hyperbolic equations
• Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data.
• Oscillations of concentration effects in semilinear dispersive wave equations
• Global and unique weak solutions of nonlinear wave equations
• Generalized Strichartz inequalities for the wave equation
• Regularity for the wave equation with a critical nonlinearity
• Endpoint Strichartz estimates
• High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
• Nonlinear hyperbolic smoothing at a focal point

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