Infinite-dimensional porous media equations and optimal transportation
نویسندگان
چکیده
In this paper we study a class of non linear diffusion equations in a Hilbert space X, ∂tμt −∇ · (∇(L ◦ ρt)γ) = 0 in X × (0,+∞), with respect to a log-concave reference probability measure γ. We obtain existence, uniqueness and stability properties, in the framework of gradient flows in spaces of probability measures.
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تاریخ انتشار 2009