Ergodic BSDEs and related PDEs with Neumann boundary conditions under weak dissipative assumptions

نویسنده

  • Pierre-Yves MADEC
چکیده

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 R not necessarily bounded. We study the link of such EBSDEs with PDEs and we apply our results to an ergodic optimal control problem.

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تاریخ انتشار 2013