A constructive approach to a class of ergodic HJB equations with nonsmooth cost
We consider a class of ergodic Hamilton-Jacobi-Bellman (HJB) equations, related to large time asymptotics of non-smooth multiplicative functional of diusion processes. Under suitable ergodicity assumptions on the underlying diusion, we show existence of these asymptotics, and that they solve the rel...
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Universität Potsdam
2007
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ndltd-Potsdam-oai-kobv.de-opus-ubp-49432013-01-08T00:55:23Z A constructive approach to a class of ergodic HJB equations with nonsmooth cost Cattiaux, Patrick Dai Pra, Paolo Poelly, Sylvie Mathematics We consider a class of ergodic Hamilton-Jacobi-Bellman (HJB) equations, related to large time asymptotics of non-smooth multiplicative functional of diusion processes. Under suitable ergodicity assumptions on the underlying diusion, we show existence of these asymptotics, and that they solve the related HJB equation in the viscosity sense. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2007 Preprint application/pdf urn:nbn:de:kobv:517-opus-49430 http://opus.kobv.de/ubp/volltexte/2011/4943/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php |
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English |
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Mathematics Cattiaux, Patrick Dai Pra, Paolo Poelly, Sylvie A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
description |
We consider a class of ergodic Hamilton-Jacobi-Bellman (HJB) equations, related to large time asymptotics of non-smooth multiplicative functional of diusion processes. Under suitable ergodicity assumptions on the underlying diusion, we show existence of these asymptotics, and that they solve the related HJB equation in the viscosity sense. |
author |
Cattiaux, Patrick Dai Pra, Paolo Poelly, Sylvie |
author_facet |
Cattiaux, Patrick Dai Pra, Paolo Poelly, Sylvie |
author_sort |
Cattiaux, Patrick |
title |
A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
title_short |
A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
title_full |
A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
title_fullStr |
A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
title_full_unstemmed |
A constructive approach to a class of ergodic HJB equations with nonsmooth cost |
title_sort |
constructive approach to a class of ergodic hjb equations with nonsmooth cost |
publisher |
Universität Potsdam |
publishDate |
2007 |
url |
http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-49430 http://opus.kobv.de/ubp/volltexte/2011/4943/ |
work_keys_str_mv |
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