Global classical solutions to a kind of quasilinear hyperbolic systems in several space variables

DOI10.1016/j.na.2013.03.013zbMath1286.35157OpenAlexW1994563269MaRDI QIDQ392470

Peng Qu

Publication date: 14 January 2014

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.2013.03.013

zbMATH Keywords

small and decaying initial dataweak linear degeneracy

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Global classical solutions for general quasilinear hyperbolic systems with decay initial data
• Point‐wise decay estimate for the global classical solutions to quasilinear hyperbolic systems
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

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