Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension

DOI10.1016/0022-0396(86)90123-3zbMath0577.35075OpenAlexW2072904331MaRDI QIDQ1066014

Michael Oberguggenberger

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90123-3

zbMATH Keywords

initial-boundary value problemreflectionsingularitypropagationnonlinear boundary conditionsabsorption(n\(\times n)\) systemsemilinear strictly hyperbolic

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Analyticity in context of PDEs (35A20)

Related Items (5)

Propagation and reflection of regularity for semilinear hyperbolic (2 × 2) systems in one space dimension ⋮ Microlocal analysis in nonlinear thermoelasticity ⋮ Propagation of singularities in one-dimensional thermoelasticity ⋮ Smoothing solutions to initial-boundary problems for first-order hyperbolic systems ⋮ Increasing the smoothness of solutions of some hyperbolic problems

Cites Work

• Propagation of singularities for semilinear hyperbolic equations in one space variable
• Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Absolute continuity on tracks and mappings of Sobolev spaces
• Interpolation non linéaire et régularité
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems

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