The semiflow of a reaction diffusion equation with a singular potential

DOI10.1007/s00229-009-0284-1zbMath1178.35221arXiv0802.1804OpenAlexW2592888828MaRDI QIDQ836909

Nikos I. Karachalios, Nikolaos B. Zographopoulos

Publication date: 9 September 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1804

zbMATH Keywords

reaction diffusion equationsingular potentialHardy-Poincaré inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Bifurcations in context of PDEs (35B32) Inequalities involving derivatives and differential and integral operators (26D10) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67)

Related Items (6)

A strongly singular parabolic problem on an unbounded domain ⋮ An approach without using Hardy inequality for the linear heat equation with singular potential ⋮ On the dynamics of a strongly singular parabolic equation ⋮ Semilinear parabolic equations on the Heisenberg group with a singular potential ⋮ On the heat equation with nonlinearity and singular anisotropic potential on the boundary ⋮ Some Results Concerning Hardy and Hardy Type Inequalities

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