Large time behavior of solutions to semilinear parabolic equations with gradient

DOI10.1007/s10883-015-9294-3zbMath1334.35149OpenAlexW1170740171MaRDI QIDQ5963674

Yuan Yuan Nie, Qian Zhou, Xiaoyan Han

Publication date: 23 February 2016

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-015-9294-3

zbMATH Keywords

critical Fujita exponentequations with gradient

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (13)

Fujita type theorem for a class of coupled quasilinear convection-diffusion equations ⋮ Asymptotic Behavior of Solutions to a Class of Semilinear Parabolic Equations with Boundary Degeneracy ⋮ Asymptotic behavior of solutions to multi-dimensional semilinear parabolic equations with general diffusion coefficients ⋮ Higher-order evolution inequalities involving convection and Hardy-Leray potential terms in a bounded domain ⋮ Unnamed Item ⋮ 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 ⋮ Fujita type theorems for a class of semilinear parabolic equations with a gradient term ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions to a class of coupled semilinear parabolic systems with gradient terms ⋮ Existence and nonexistence of the solutions to the Cauchy problem of quasilinear parabolic equation with a gradient term ⋮ Asymptotic behavior of solutions to coupled semilinear parabolic equations with general degenerate diffusion coefficients ⋮ Asymptotic behavior of solutions to a class of coupled nonlinear parabolic systems

Cites Work

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• On the critical exponent for reaction-diffusion equations
• On the growing problem for semilinear heat equations
• Existence and nonexistence of global solutions to quasilinear parabolic equations with convection
• The role of critical exponents in blow-up theorems: The sequel
• The Role of Critical Exponents in Blowup Theorems
• Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms
• On the blow-up of solutions of a convective reaction diffusion equation
• The critical exponents of parabolic equations and blow-up inRⁿ
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data
• Critical Fujita exponents of degenerate and singular parabolic equations

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