Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable

DOI10.1017/S0013091500004855zbMath0691.35007MaRDI QIDQ3032642

Jeffrey Rauch, Francoise Demengel

Publication date: 1990

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesssemilinear hyperbolic systemscontinuous dependencemeasure valued solutionnonlinear superposition

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Generalized solutions to partial differential equations (35D99)

Related Items (6)

Generalized solutions to hyperbolic systems with non-linear conditions and strongly singular data ⋮ Reflection of delta-waves for nonlinear wave equations in one space variable ⋮ Weak convergence of asymptotically homogeneous functions of measures ⋮ Delta waves for a strongly singular initial-boundary hyperbolic problem with integral boundary condition ⋮ Semilinear hyperbolic systems with singular non-local boundary conditions: Reflection of singularities and delta waves ⋮ Singular asymptotic expansions and delta waves for Burgers' equation

Cites Work

• Weak limits of solutions to semilinear hyperbolic systems
• Nonlinear superposition and absorption of delta waves in one space dimension

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