Reduced measures associated to parabolic problems
نویسندگان
چکیده
Abstract We study the existence and the properties of the reduced measures for the parabolic equations ∂tu−∆u+ 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 a continuous nondecreasing function. 1991 Mathematics Subject Classification. 35K60, 34.
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تاریخ انتشار 2008