Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems

DOI10.1007/s11401-012-0725-0zbMath1257.35119OpenAlexW2126221788MaRDI QIDQ692450

Xiang Chen

Publication date: 6 December 2012

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0725-0

zbMATH Keywords

existence and uniquenessone space dimension

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Lipschitz solutions of initial boundary value problems for balance laws ⋮ \(L^1\) convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum

Cites Work

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• The continuous dependence of generalized solutions of non‐linear partial differential equations upon initial data
• Some existence theorems for hyperbolic systems of partial differential equations in two independent variables
• On Hyperbolic Partial Differential Equations

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