Propagation of singularities for non-linear wave equations in one dimension

DOI10.1080/0360530780882063zbMath0377.35047OpenAlexW2049787082MaRDI QIDQ4157092

Michael C. Reed

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/0360530780882063

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (10)

PROPAGATION OF SINGULARITIES FOR SEMI-LINEAR WAVE EQUATIONS WITH NONLINEARITY SATISFYING THE NULL CONDITION ⋮ New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation ⋮ Anomalous solutions to nonlinear hyperbolic equations ⋮ Spreading of singularities at the boundary in semilinear hyperbolic mixed problems. I: Microlocal \(H^{s,s'}\) regularity ⋮ Reflection of singularities of one-dimensional semilinear wave equations at boundaries ⋮ Propagation of singularities for generalized solutions to nonlinear wave equations ⋮ Study of nonlinear wave equation with singular data by using generalized fixed point ⋮ Propagation of mild singularities in higher dimensional thermoelasticity ⋮ Splitting strings on integrable backgrounds ⋮ Propagation of singularities in one-dimensional thermoelasticity

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• On certain global solutions of the Cauchy problem for the (classical) coupled Klein-Gordon-Dirac equations in one and three space dimensions
• Global solutions of the Cauchy problem for the (classical) coupled Maxwell-Dirac equations in one space dimension

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