The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\)

DOI10.1016/j.jde.2023.09.007arXiv2211.08828MaRDI QIDQ6048595

Liviu I. Ignat, Cristian Cazacu, Dragoş Manea

Publication date: 11 October 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.08828

zbMATH Keywords

heat equationasymptotic behaviourHardy inequalityinverse-square potentialself-similarity variables

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Singular parabolic equations (35K67) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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