Abstract
We prove the existence of positive singular solutions for the semi-linear parabolic equation
Δ
x
u
−
∂
∂
t
u
+
μ
u
p
=
0
on
Ω
=
D
×
]
0
,
∞
[
, where
p
>
1
,
D
is a bounded NTA-domain in
R
n
,
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.