Boundedness up to blow-up of the difference between two solutions to a semilinear heat equation

DOI10.1088/0951-7715/13/4/311zbMath0954.35085OpenAlexW1969858809MaRDI QIDQ4508715

Clotilde Fermanian-Kammerer, Hatem Zaag

Publication date: 1 February 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/4/311

zbMATH Keywords

singular pointsstability of profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation ⋮ Construction and stability of blowup solutions for a non-variational semilinear parabolic system ⋮ Numerical analysis of the rescaling method for parabolic problems with blow-up in finite time ⋮ Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile ⋮ Continuity of the blow-up profile with respect to initial data and to the blow-up point for a semilinear heat equation ⋮ Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation ⋮ Blow-up time for nonlinear heat equations with transcendental nonlinearity ⋮ On the regularity of the blow-up set for semilinear heat equations ⋮ Determination of the curvature of the blow-up set and refined singular behavior for a semilinear heat equation ⋮ A remark on the energy blow-up behavior for nonlinear heat equations

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