Life span of positive solutions for a semilinear heat equation with general non-decaying initial data
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Publication:531858
DOI10.1016/j.jmaa.2011.01.050zbMath1215.35091OpenAlexW2008953601MaRDI QIDQ531858
Publication date: 20 April 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.050
Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Related Items (6)
Life span of solutions with large initial data for a class of coupled parabolic systems ⋮ 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 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 ⋮ Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity
Cites Work
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- Life span of positive solutions for a semilinear heat equation with non-decaying initial data.
- On blow-up at space infinity for semilinear heat equations
- Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in \(\mathbb{R}^ N\)
- Life span of solutions of the Cauchy problem for a semilinear heat equation
- On directional blow-up for quasilinear parabolic equations with fast diffusion
- Blow-up directions for quasilinear parabolic equations
- Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
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