Averaging problems of running processes associated with Brownian motion and applications

A1 Originalartikel i en vetenskaplig tidskrift (referentgranskad)

Interna författare/redaktörer

Publikationens författare: Bao Quoc Ta
Förläggare: World Scientific
Förlagsort: World Scientific Publishing
Publiceringsår: 2015
Tidskrift: International Journal of Mathematics
Volym: 26
Nummer: 1550028 (2015)
eISSN: 1793-6519


Recently the new technique to solve optimal stopping problems for Hunt processes is developed (see [S. Christensen, P. Salminen and B. Q. Ta, Optimal stopping of strong Markov processes, Stochastic Process. Appl. 123(3) (2013) 1138–1159]). The crucial feature of the approach is to utilize the representation of the r-excessive functions as expected suprema. However, it seems to be difficult when applying directly the approach to some concrete cases, e.g. one-sided problem for reflecting Brownian motion and two-sided problem for Brownian motion. In this paper, we review and exploit this approach to find explicit solutions of two problems above.

Senast uppdaterad 2019-20-11 vid 02:56