Abstract
We study the existence and the properties of reduced measures for the parabolic equations ∂tu − Δu + g(u) = 0 in Ω × (0, ∞) subject to the conditions (P): u = 0 on ∂Ω × (0, ∞), u(x, 0) = µ and (P′): u = µ′ on ∂Ω × (0, ∞), u(x, 0) = 0, where µ and µ′ are positive Radon measures and g is a continuous nondecreasing function.
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