Non-existence of global solutions to systems of semi-linear parabolic equations

DOI10.1006/jdeq.1993.1066zbMath0816.35060OpenAlexW2005696745MaRDI QIDQ687502

Gang Lu, Sleeman, Brian D.

Publication date: 25 October 1993

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1066

zbMATH Keywords

blow upordinary differential inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57)

Related Items (10)

Positive solutions to systems of heat equations with a semilinear boundary condition ⋮ Global existence and blow-up for a class of semilinear parabolic systems: A Cauchy Problem ⋮ Global existence and blowup for a reaction-diffusion system with nonlocal boundary condition ⋮ ASYMPTOTIC SELF-SIMILAR BEHAVIOR OF SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM ⋮ Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems ⋮ Global existence and blow-up of solutions for a semilinear parabolic system ⋮ A sufficient condition for blow up solutions of nonlinear heat equations ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with nonlocal source ⋮ Boundedness and blow-up behavior for reaction–diffusion systems in a bounded domain ⋮ Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems

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