Asymptotic behavior of solutions to a class of semilinear parabolic equations

DOI10.1186/S13661-016-0578-7zbMath1338.35259OpenAlexW2306532601WikidataQ59467906 ScholiaQ59467906MaRDI QIDQ276358

Mingjun Zhou, Wei Guo, Xinyue Wang

Publication date: 3 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0578-7

zbMATH Keywords

asymptotic behaviorconvectionreaction

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (7)

Fujita type theorem for a class of coupled quasilinear convection-diffusion equations ⋮ Critical Fujita exponents to a class of non-Newtonian filtration equations with fast diffusion ⋮ Blow-up behavior for a degenerate parabolic systems subject to Neumann boundary conditions ⋮ Blow-up theorems of Fujita type for a semilinear parabolic equation with a gradient term ⋮ Fujita-type theorems for a class of coupled semilinear parabolic systems with gradient terms ⋮ Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms ⋮ Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems

Cites Work

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• A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary
• Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
• Critical Fujita exponent for the diffusion equation in transparent media with source having power-like non-linearities
• The role of critical exponents in blow-up theorems: The sequel
• Critical Fujita absorption exponent for evolution \(p\)-Laplacian with inner absorption and boundary flux.
• A note on semilinear heat equation in hyperbolic space
• Fujita type theorems for a class of nonlinear diffusion equations.
• A general blow-up result on nonlinear boundary-value problems on exterior domains
• The Role of Critical Exponents in Blowup Theorems
• Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms
• The critical exponents of parabolic equations and blow-up inRⁿ
• A critical exponent in a degenerate parabolic equation
• Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data
• Critical Fujita exponents of degenerate and singular parabolic equations
• Large time behavior of solutions to the Neumann problem for a quasilinear second order degenerate parabolic equation in domains with noncompact boundary
• Critical exponents of quasilinear parabolic equations

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