A semilinear heat equation with singular initial data

DOI10.1017/S0308210500021752zbMath0909.35068OpenAlexW2323410929MaRDI QIDQ4212396

Minkyu Kwak

Publication date: 6 October 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021752

zbMATH Keywords

sharp decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for second-order parabolic equations (35K15)

Related Items (7)

Complete classification of shape functions of self-similar solutions ⋮ Unnamed Item ⋮ A very singular solution for the slow diffusion equation with nonlinear convection ⋮ Asymptotic behaviour of solutions of a degenerate parabolic equation ⋮ Uniqueness of the very singular solution of a degenerate parabolic equation ⋮ A porous media equation with absorption. I: Long time behaviour ⋮ Slow decay of solutions in a semilinear dissipative parabolic equation

Cites Work

• Classification of singular solutions of a nonlinear heat equation
• A very singular solution of the heat equation with absorption
• The asymptotic behavior of solutions of a semilinear parabolic equation
• Variational problems related to self-similar solutions of the heat equation
• Large time behavior of solutions of a dissipative semilnear heat equation
• Ordinary Differential Equations

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