Global existence and gradient blowup of solutions for a semilinear parabolic equation with exponential source

DOI10.3934/dcdsb.2014.19.3019zbMath1304.35353OpenAlexW2321175940MaRDI QIDQ478781

Zhengce Zhang, Yan Li

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.3019

zbMATH Keywords

global solutionstationary solutionhomogeneous Dirichlet boundary conditionlarge initial datadomains with small measuregradient blowup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (4)

Asymptotic behavior of global solutions to a class of heat equations with gradient nonlinearity ⋮ Gradient blowup behavior for a viscous Hamilton-Jacobi equation with degenerate gradient nonlinearity ⋮ Unnamed Item ⋮ Gradient blowup rate for a heat equation with general gradient nonlinearity

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