Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form.

DOI10.1016/j.na.2003.08.010zbMath1036.35124OpenAlexW2073906260MaRDI QIDQ1421164

Yue-Jun Peng, Ta-Tsien Li

Publication date: 26 January 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.08.010

zbMATH Keywords

Global \(C^1\) solutionQuasi-linear hyperbolic systemWeakly linearly degenerate characteristics

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ A note on the asymptotic behavior of global classical solutions of diagonalizable quasilinear hyperbolic systems ⋮ Entropy solutions for linearly degenerate hyperbolic systems of rich type ⋮ Global existence of classical solutions to the mixed initial-boundary value problem for quasilinear hyperbolic systems of diagonal form with large BV data ⋮ Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data

Cites Work

• Pointwise estimates of solutions to Cauchy problem for quasilinear hyperbolic systems
• Global classical solutions with small initial total variation for quasilinear hyperbolic systems
• Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems
• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
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