On directional blow-up for quasilinear parabolic equations with fast diffusion

DOI10.1016/j.jmaa.2007.05.033zbMath1144.35030OpenAlexW1970031245MaRDI QIDQ2473908

Yukihiro Seki

Publication date: 5 March 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.2007.05.033

zbMATH Keywords

blow-up at space infinityminimal blow-up timeblow-up direction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (8)

Life span of solutions for a quasilinear parabolic equation with initial data having positive limit inferior at infinity ⋮ Life span of positive solutions for the Cauchy problem for the parabolic equations ⋮ Life span of positive solutions for a semilinear heat equation with general non-decaying initial data ⋮ Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity ⋮ Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data ⋮ Blow-up at space infinity for a quasilinear parabolic equation with space-dependent reaction ⋮ Mean Curvature Flow Closes Open Ends of Noncompact Surfaces of Rotation ⋮ Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity

Cites Work

• On blow-up at space infinity for semilinear heat equations
• Classification of type I and type II behaviors for a supercritical nonlinear heat equation
• Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in \(\mathbb{R}^ N\)
• Existence and nonexistence of global solutions to fast diffusions with source
• The form of blow-up for nonlinear parabolic equations
• Nondegeneracy of blowup for semilinear heat equations
• Blow-up directions for quasilinear parabolic equations
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Positivity versus localization in degenerate diffusion equations
• On solutions of a perturbed fast diffusion equation
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