Blowup, extinction and non-extinction for a nonlocal \(p\)-biharmonic parabolic equation

DOI10.1016/J.AML.2016.09.007zbMath1355.35089OpenAlexW2526297444MaRDI QIDQ338989

Aijing Hao, Jun Zhou

Publication date: 7 November 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.09.007

zbMATH Keywords

blow-upextinctionnon-extinction\(p\)-biharmonic parabolic equation

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

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Cites Work

• Global existence and non-extinction of solutions to a fourth-order parabolic equation
• Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
• A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
• Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
• Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
• Blow-up and extinction for a thin-film equation with initial-boundary value conditions

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