2 citations · 2 across the 4 of their papers we have counts for
4 papers
Fokker-Planck equation for McKean-Vlasov SPDEs driven by time-space Brownian sheet
Nacira Agram, Bernt Oksendal, Frank Proske +1
In this paper, we consider a McKean-Vlasov (mean-field) stochastic partial differential equations (SPDEs) driven by a Brownian sheet. We study the propagation of chaos for a space-…
The Donsker delta function and local time for McKean-Vlasov processes and applications
Nacira Agram, Bernt Øksendal
The purpose of this paper is to establish a stochastic differential equation for the Donsker delta measure of the solution of a McKean-Vlasov (mean-field) stochastic differential e…
Optimal multi-dimensional stochastic harvesting with density-dependent prices
Luis H. R. Alvarez, Edward Lungu, Bernt Øksendal
We prove a verification theorem for a class of singular control problems which model optimal harvesting with density-dependent prices or optimal dividend policy with capital-depend…
Maximum principles for jump diffusion processes with infinite horizon
Sven Haadem, Bernt Øksendal, Frank Proske
We prove maximum principles for the problem of optimal control for a jump diffusion with infinite horizon and partial information. The results are applied to partial information op…