Time-dependent singularities in a semilinear parabolic equation with absorption

DOI10.1142/S0219199715500777zbMath1346.35113MaRDI QIDQ3188182

Jin Takahashi, Eiji Yanagida

Publication date: 17 August 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

singularitiesparabolic equationabsorptionremovability

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58)

Related Items (9)

Solutions with snaking singularities for the fast diffusion equation ⋮ Solutions with moving singularities for equations of porous medium type ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions ⋮ Solutions with time-dependent singular sets for the heat equation with absorption ⋮ Higher-dimensional moving singularities in a superlinear parabolic equation ⋮ Lack of smoothing for bounded solutions of a semilinear parabolic equation ⋮ Singularities of certain finite energy solutions to the Navier-Stokes system ⋮ On the evolution equation with a dynamic Hardy-type potential ⋮ Isolated singularities in the heat equation behaving like fractional Brownian motions

Cites Work

• Unnamed Item
• Time-dependent singularities in semilinear parabolic equations: behavior at the singularities
• Nonlinear parabolic equations involving measures as initial conditions
• Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems

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