On the profile of solutions with time-dependent singularities for the heat equation

DOI10.2996/kmj/1414674609zbMath1323.35053OpenAlexW2090016588MaRDI QIDQ487278

Jin Takahashi, Toru Kan

Publication date: 19 January 2015

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1414674609

zbMATH Keywords

heat equationasymptotic expansiontime-dependent singularityprofile of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Analyticity in context of PDEs (35A20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (12)

Time-dependent singularities in semilinear parabolic equations: behavior at the singularities ⋮ Entire solutions with moving singularities for a semilinear heat equation with a critical exponent ⋮ Solutions with snaking singularities for the fast diffusion equation ⋮ Solutions with moving singularities for equations of porous medium type ⋮ Existence of solutions with moving singularities for a semilinear heat equation with a critical exponent ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions ⋮ Higher-dimensional moving singularities in a superlinear parabolic equation ⋮ Singular solutions of a superlinear parabolic equation with homogeneous Neumann boundary conditions ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation ⋮ On the evolution equation with a dynamic Hardy-type potential ⋮ Isolated singularities in the heat equation behaving like fractional Brownian motions ⋮ Time-dependent singularities in the heat equation

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