Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622307 | Journal of Mathematical Analysis and Applications | 2007 | 10 Pages |
Abstract
We prove the existence of positive singular solutions for the semi-linear parabolic equation on Ω=D×]0,∞[, where p>1,D is a bounded NTA-domain in Rn, n⩾2, and μ is in a general class of signed Radon measures on D covering the elliptic Kato class of potentials adopted by Zhang and Zhao. A new proof of the result based on a simple fixed point theorem is also given.
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