On a heat problem involving the perturbed Hardy–Sobolev operator

DOI10.1017/S0308210500003425zbMath1052.35067OpenAlexW2046974786MaRDI QIDQ4820455

Kunnath Sandeep, Nirmalendu Chaudhuri

Publication date: 15 October 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003425

zbMATH Keywords

existence and non-existence of positive \(H^1_0\) solutions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Analyticity in context of PDEs (35A20) PDEs with low regular coefficients and/or low regular data (35R05)

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An approach without using Hardy inequality for the linear heat equation with singular potential ⋮ Bounds for the best constant in an improved Hardy-Sobolev inequality

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