Ergodic BSDEs and related PDEs with Neumann boundary conditions under weak dissipative assumptions
P.Y. Madec
Stochastic Processes and their Applications, 2015, vol. 125, issue 5, 1821-1860
Abstract:
We study a class of ergodic BSDEs related to PDEs with Neumann boundary conditions. The randomness of the driver is given by a forward process under weakly dissipative assumptions with an invertible and bounded diffusion matrix. Furthermore, this forward process is reflected in a convex subset of Rd not necessarily bounded. We study the link of such EBSDEs with PDEs and we apply our results to an ergodic optimal control problem.
Keywords: Backward stochastic differential equations; Weakly dissipative drift; Neumann boundary conditions; Ergodic partial differential equations; Optimal ergodic control problem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:125:y:2015:i:5:p:1821-1860
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DOI: 10.1016/j.spa.2014.11.015
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