Global classical solutions with small initial total variation for quasilinear hyperbolic systems

DOI10.1142/S0252959902000316zbMath1017.35064OpenAlexW2395982614MaRDI QIDQ1848448

Ping Yan

Publication date: 3 September 2003

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

Full work available at URL: https://doi.org/10.1142/s0252959902000316

zbMATH Keywords

continuous Glimm functional

Mathematics Subject Classification ID

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

Related Items (4)

Blow-up mechanism of classical solutions to quasilinear hyperbolic systems ⋮ Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form. ⋮ Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems. ⋮ Global classical solutions of mixed initial-boundary value problem for quasilinear hyperbolic systems

Cites Work

• Unnamed Item
• Formation of singularities in one-dimensional nonlinear wave propagation
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems

This page was built for publication: Global classical solutions with small initial total variation for quasilinear hyperbolic systems