Various behaviors of solutions for a semilinear heat equation after blowup

DOI10.1016/j.jfa.2004.07.004zbMath1112.35099OpenAlexW2007374104MaRDI QIDQ1766554

Noriko Mizoguchi

Publication date: 8 March 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.07.004

zbMATH Keywords

semilinear heat equationsupercritical nonlinearityincomplete blow-up

Mathematics Subject Classification ID

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

Related Items (9)

On partial regularity of the borderline solution of semilinear parabolic problems ⋮ Multiple blowup of solutions for a semilinear heat equation. II. ⋮ A numerical algorithm for blow-up problems revisited ⋮ A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation ⋮ Singularity formation and regularization at multiple times in the viscous Hamilton–Jacobi equation ⋮ Finite difference schemes for an axisymmetric nonlinear heat equation with blow-up ⋮ Multiple blow-up for a porous medium equation with reaction ⋮ On the uniqueness of \(L^1\)-continuation after blowup ⋮ Multiple blowup of solutions for a semilinear heat equation

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