Infinite horizon value functions in the Wasserstein spaces
نویسندگان
چکیده
منابع مشابه
Infinite horizon value functions in the Wasserstein spaces
We perform a systematic study of optimization problems in the Wasserstein spaces that are analogs of infinite horizon, deterministic control problems. We derive necessary conditions on action minimizing paths and present a sufficient condition for their existence. We also verify that the corresponding generalized value functions are a type of viscosity solution of a time independent, Hamilton–J...
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* Corresponding author. E-mail address: [email protected] (R. Hynd). 1 Partially supported by NSF grants DMS-1004733 and DMS-1301628. 2 Partially supported by BK21 PLUS SNU Mathematical Sciences Division. http://dx.doi.org/10.1016/j.jfa.2015.05.011 0022-1236/© 2015 Elsevier Inc. All rights reserved. R. Hynd, H.K. Kim / Journal of Functional Analysis 269 (2015) 968–997 969
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2015
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.11.020