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On a heat problem involving the perturbed Hardy-Sobolev operator

Chaudhuri, Nirmalendu; Sandeep, Kunnath


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

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Proceedings of the Royal Society of Edinburgh


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