Global existence and blow-up of solutions for a system of Petrovsky equations

DOI10.1080/00036811.2016.1249862zbMath1375.35280OpenAlexW2548973655WikidataQ58267773 ScholiaQ58267773MaRDI QIDQ4597851

Yao-Jun Ye

Publication date: 14 December 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1249862

zbMATH Keywords

blow-upglobal existenceexponential decay estimatesPetrovsky systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Higher-order nonlinear hyperbolic equations (35L75) Blow-up in context of PDEs (35B44)

Related Items (3)

Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term ⋮ Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy ⋮ Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level

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