Life span of solutions with large initial data for a semilinear parabolic system

DOI10.1016/j.jmaa.2011.03.033zbMath1219.35027OpenAlexW2040546995MaRDI QIDQ536266

Shota Sato

Publication date: 16 May 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.2011.03.033

zbMATH Keywords

blow-upsemilinear parabolic systemlife span

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

Life span of solutions with large initial data for a class of coupled parabolic systems ⋮ Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity ⋮ Existence of type-I blow-up solutions for the time-weighted parabolic Lane-Emden system ⋮ Global well-posedness of coupled parabolic systems ⋮ Life span of solutions with large initial data for a semilinear parabolic system coupling exponential reaction terms

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• The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion
• On the growth of solutions of quasi‐linear parabolic equations
• Life span of solutions for a semilinear parabolic problem with small diffusion

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