Representation of functionals of Ito processes and their first exit times
| dc.contributor.author | Dokuchaev, Nikolai | |
| dc.date.accessioned | 2017-01-30T11:35:00Z | |
| dc.date.available | 2017-01-30T11:35:00Z | |
| dc.date.created | 2011-02-01T20:03:06Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Dokuchaev, Nikolai. 2011. Representation of functionals of Ito processes and their first exit times. Stochastics An International Journal of Probability and Stochastic Processes. 83 (1): pp. 45-66. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/13137 | |
| dc.identifier.doi | 10.1080/17442508.2010.510907 | |
| dc.description.abstract |
The representation theorem is obtained for functionals of non-Markov processes and their first exit times from bounded domains. These functionals are represented via solutions of backward parabolic Ito equations. As an example of applications, analogs of forward Kolmogorov equations are derived for conditional probability density unctions of Ito processes killed on the boundary. In addition, a maximum principle and a contraction property are established for SPDEs in bounded domains. | |
| dc.publisher | Taylor & Francis | |
| dc.subject | stochastic processes | |
| dc.subject | backward - SPDEs | |
| dc.subject | first exit times | |
| dc.subject | SPDEs | |
| dc.subject | Ito processes | |
| dc.subject | representation theorem | |
| dc.title | Representation of functionals of Ito processes and their first exit times | |
| dc.type | Journal Article | |
| dcterms.source.volume | 83 | |
| dcterms.source.number | 1 | |
| dcterms.source.startPage | 45 | |
| dcterms.source.endPage | 66 | |
| dcterms.source.issn | 17442508 | |
| dcterms.source.title | Stochastics An International Journal of Probability and StochasticProcesses | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access |