Global existence and blowup of \(W^{k,p}\) solutions for a class of nonlinear wave equations with dispersive term

DOI10.1016/j.na.2005.01.110zbMath1079.35076OpenAlexW2047294662MaRDI QIDQ2486620

Junsheng Zhao, Ya-Cheng Liu

Publication date: 5 August 2005

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.2005.01.110

zbMATH Keywords

local existenceglobal existenceblow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)

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