Blow-up phenomena for a Kirchhoff-type parabolic equation with logarithmic nonlinearity

DOI10.1016/J.AML.2020.106969zbMath1462.35100OpenAlexW3117050504MaRDI QIDQ2021455

Xiangkun Shao, Guo-ji Tang

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106969

zbMATH Keywords

upper bound of blow-up timedifferential inequality techniqueslower bound of growth rate of blow-up solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

Related Items (4)

The Kirchhoff-type diffusion problem driven by a magnetic fractional Laplace operator ⋮ Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ Blow-up phenomena for a class of fourth order parabolic equation

Cites Work

• Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
• Blow-up of solution for a generalized Boussinesq equation
• Global nonexistence for nonlinear Kirchhoff systems
• Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth
• Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
• Blow up properties for a class of nonlinear degenerate diffusion equation with nonlocal source
• Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
• Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
• Blow-up estimates for a non-Newtonian filtration system

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