On a heat problem involving the perturbed Hardy-Sobolev operator

Chaudhuri, Nirmalendu; Sandeep, Kunnath

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On a heat problem involving the perturbed Hardy-Sobolev operator

Date

2004

Authors

Chaudhuri, Nirmalendu

Sandeep, Kunnath

Publisher

Royal Society of Edinburgh

Abstract

Let Ω be a bounded domain in ℝn n ≥ 3 and 0 ∈ Ω. It is known that the heat problem ∂u/∂t + L λ*u = 0 in Ω × (0, ∞), u(x,0) = u 0 ≥ 0, u0 ≢ 0, where L λ*:= -Δ - λ*/|x|2, λ*:= 1/4(n - 2)2, does not admit any H01 solutions for any t

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http://hdl.handle.net/1885/87042

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ANU Research Publications

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Proceedings of the Royal Society of Edinburgh

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Journal article

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2037-12-31

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On a heat problem involving the perturbed Hardy-Sobolev operator

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