Asymptotic behavior for the heat equation in nonhomogeneous media with critical density

DOI10.1016/j.na.2013.05.002zbMath1282.35067arXiv1206.1167OpenAlexW2963403027MaRDI QIDQ395382

Razvan Gabriel Iagar, Ariel Sánchez

Publication date: 29 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1167

zbMATH Keywords

radially symmetric solutionscounterexamplessingular densitythermal propagation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Heat equation (35K05) Singular parabolic equations (35K67)

Related Items (9)

Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds ⋮ Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions ⋮ Kinetic and mean field description of Gibrat's law ⋮ The fractional Laplacian in power-weighted \(L^{p}\) spaces: integration-by-parts formulas and self-adjointness ⋮ Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density ⋮ Interfaces in diffusion-absorption processes in nonhomogeneous media ⋮ The porous medium equation with large initial data on negatively curved Riemannian manifolds ⋮ Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds ⋮ On the asymptotic behaviour of solutions to the fractional porous medium equation with variable density

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