Long time behavior of classical solutions to the generalized Goursat problem of quasilinear hyperbolic systems

DOI10.1016/j.na.2009.06.048zbMath1180.35338OpenAlexW2061863905MaRDI QIDQ1049499

Yan-Zhi Duan, Kai-Chuan Xu

Publication date: 12 January 2010

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.2009.06.048

zbMATH Keywords

degeneracy assumptions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Traveling wave solutions (35C07)

Related Items

Global classical solutions of a kind of boundary value problem for quasilinear hyperbolic systems ⋮ Asymptotic behavior of global classical solutions to Goursat problem of quasilinear hyperbolic systems ⋮ Asymptotic behavior of global classical solutions to Goursat problem for quasilinear hyperbolic systems with small BV data ⋮ Global existence of classical solutions of Goursat problem for quasilinear hyperbolic systems with BV data

Cites Work

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• Global existence and asymptotic behavior of classical solutions of quasilinear hyperbolic systems with linearly degenerate characteristic fields
• Global classical solutions to quasilinear hyperbolic systems with weak linear degeneracy
• Cauchy problem for quasilinear hyperbolic systems
• Formation of singularities in one-dimensional nonlinear wave propagation
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Asymptotic Behavior of Global Classical Solutions of Quasilinear Hyperbolic Systems

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