Local existence of weak solutions to the quasi-linear wave equation for large initial values

DOI10.1007/BF01160462zbMath0581.35049OpenAlexW2032519868MaRDI QIDQ1068286

Hans-Dieter Alber

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173622

zbMATH Keywords

convergenceweak solutionapproximate solutionslocal existencequasi-linear wave equationinteractions of discontinuitieslarge initial values

Mathematics Subject Classification ID

Related Items (6)

A new front tracking scheme for the ultra-relativistic Euler equations ⋮ On the constrollability of the 1-D isentropic Euler equation ⋮ Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials ⋮ Continuous dependence in the large for some equations of gas dynamics ⋮ Sufficient conditions for local existence via Glimm's scheme for large BV data ⋮ Global solutions for the ultra-relativistic Euler equations

Cites Work

• Unnamed Item
• Convergence of approximate solutions to conservation laws
• Global existence of solutions to nonlinear hyperbolic systems of conservation laws
• Hyperbolic systems of conservation laws II
• Solutions in the large for nonlinear hyperbolic systems of equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws

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