Global existence and blowup of solutions for a class of nonlinear higher-order wave equations

DOI10.1007/S00033-011-0165-9zbMath1262.35172OpenAlexW2017362217MaRDI QIDQ438625

Jun Zhou, Xiaojun Song, Xiong Rui Wang, Chun-Lai Mu

Publication date: 31 July 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-011-0165-9

zbMATH Keywords

nonlinear dampinglifespanenergy decay

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Related Items (3)

Global existence and energy decay estimate of solutions for a class of nonlinear higher-order wave equation with general nonlinear dissipation and source term ⋮ Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term ⋮ Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy

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