Life span of solutions with large initial data for a superlinear heat equation
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Publication:924246
DOI10.1016/j.jmaa.2008.02.018zbMath1154.35060OpenAlexW1997610102MaRDI QIDQ924246
Publication date: 15 May 2008
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.2008.02.018
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (9)
Life span of solutions with large initial data for a class of coupled parabolic systems ⋮ Blowup time of solutions for a small diffusive parabolic problem with exponential source ⋮ New life-span results for the nonlinear heat equation ⋮ Blow-up set for a superlinear heat equation and pointedness of the initial data ⋮ Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition ⋮ Life span of solutions with large initial data for a semilinear parabolic system ⋮ Blow-up set for a semilinear heat equation with small diffusion ⋮ Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values ⋮ Life span of solutions with large initial data for a semilinear parabolic system coupling exponential reaction terms
Cites Work
- Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
- Life span of solutions of the Cauchy problem for a semilinear heat equation
- Life span of solutions with large initial data in a semilinear parabolic equation
- The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion
- Life span of solutions for a semilinear parabolic problem with small diffusion
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