Necessary optimality conditions for geodesics in weighted Wasserstein spaces
نویسندگان
چکیده
منابع مشابه
Necessary optimality conditions for geodesics in weighted Wasserstein spaces
Abstract: The geodesic problem in Wasserstein spaces with a metric perturbed by a conformal factor is considered, and necessary optimality conditions are estabilished in a case where this conformal factor favours the spreading of the probability measure along the curve. These conditions have the form of a system of PDEs of the kind of the compressible Euler equations. Moreover, self-similar sol...
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ژورنال
عنوان ژورنال: Rendiconti Lincei - Matematica e Applicazioni
سال: 2007
ISSN: 1120-6330
DOI: 10.4171/rlm/479