Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity

DOI10.1016/j.na.2011.04.064zbMath1221.35076OpenAlexW1974310150MaRDI QIDQ549936

Yusuke Yamauchi

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.064

zbMATH Keywords

upper bound of life span

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)

Related Items (7)

Life span of solutions for a quasilinear parabolic equation with initial data having positive limit inferior at infinity ⋮ New life-span results for the nonlinear heat equation ⋮ Life span of solutions for a semilinear heat equation with inhomogeneous source ⋮ Life span of positive solutions for the Cauchy problem for the parabolic equations ⋮ Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition ⋮ A note on the life span of semilinear pseudo-parabolic equation ⋮ A semilinear pseudo-parabolic equation with initial data non-rarefied at \(\infty\)

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