Blow up of solutions for a nonlinear Petrovsky type equation with time-dependent coefficients

DOI10.1007/s10255-020-0984-6zbMath1464.35047OpenAlexW3117293382MaRDI QIDQ2025227

Xiaoming Peng, Yadong Shang, Xiaoxiao Zheng

Publication date: 11 May 2021

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-020-0984-6

zbMATH Keywords

upper and lower bounds of the blow-up timenonlinear weak damping, superlinear source

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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• Blow up and global existence in a nonlinear viscoelastic wave equation
• GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK
• Blow-up phenomena for a class of fourth-order parabolic problems
• Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
• Global existence and nonexistence in a system of Petrovsky

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