Energy decay and nonexistence of solution for a reaction-diffusion equation with exponential nonlinearity

DOI10.1186/1687-2770-2014-70zbMath1382.35138OpenAlexW2149852049WikidataQ59323916 ScholiaQ59323916MaRDI QIDQ472264

Huiya Dai, Hongwei Zhang

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-70

zbMATH Keywords

reaction-diffusion equationdecay rateglobal nonexistenceexponential reaction termstable and unstable set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58)

Related Items (4)

A Potential Well Argument for a Semilinear Parabolic Equation with Exponential Nonlinearity ⋮ Blow-up phenomena of solutions for a reaction-diffusion equation with weighted exponential nonlinearity ⋮ Asymptotics for a parabolic equation with critical exponential nonlinearity ⋮ Lie and \(Q\)-conditional symmetries of reaction-diffusion-convection equations with exponential nonlinearities and their application for finding exact solutions

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