On the global continuous solvability of the mixed problem for one-dimensional hyperbolic systems of quasilinear equations

DOI10.1134/S0012266108030129zbMath1152.35071MaRDI QIDQ946130

A. M. Filimonov, A. D. Myshkis

Publication date: 22 September 2008

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

zbMATH Keywords

nonlinear boundary conditionsRiemann invariantsone spatial variable

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

On the mixed problem for hyperbolic partial differential-functional equations of the first order ⋮ Systems with Propagation: A Bunch of Models and a Research Program ⋮ Propagation, delays, and stability (robust versus fragile) ⋮ A mixed problem for a class of second-order nonlinear hyperbolic systems with Dirichlet and Poincaré boundary conditions ⋮ Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems

Cites Work

• Unnamed Item
• Globally smooth solutions of quasilinear hyperbolic systems in diagonal form
• Global solvability of the mixed problem for first order functional partial differential equations
• Formation of singularities in one-dimensional nonlinear wave propagation
• Mixed problems for quasilinear hyperbolic systems
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Exact Solution for the Vibrations of a Nonlinear Continuous Model String

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