Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term

DOI10.1016/j.aml.2010.12.052zbMath1213.35130OpenAlexW2025110876MaRDI QIDQ2430054

Juntang Ding, Bao-Zhu Guo

Publication date: 5 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.052

zbMATH Keywords

global solutionnonlinear boundary conditionblow-up solutionblow-up ratereaction-diffusion equationblow-up timegradient term

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (10)

Global existence and blow-up results for \(p\)-Laplacian parabolic problems under nonlinear boundary conditions ⋮ Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions ⋮ Stability properties of Radon measure-valued solutions for a class of nonlinear parabolic equations under Neumann boundary conditions ⋮ Large time behavior of solutions for the porous medium equation with a nonlinear gradient source ⋮ New stability criterion for Takagi-sugeno fuzzy Cohen-Grossberg neural networks with probabilistic time-varying delays ⋮ Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions ⋮ Blow-up of solutions for a class of quasilinear parabolic equations with nonlinear Boundary conditions ⋮ Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux ⋮ Blow-up analysis for parabolic \(p\)-Laplacian equations with a gradient source term ⋮ Waiting time phenomena for the porous medium equation with gradient absorption

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