Well-Posedness of a Fractional Mean Field Game System with Non-Local Coupling
| dc.contributor.advisor | Jakobsen, Espen Robstad | |
| dc.contributor.author | Ersland, Olav | |
| dc.date.accessioned | 2017-09-19T14:02:00Z | |
| dc.date.available | 2017-09-19T14:02:00Z | |
| dc.date.created | 2017-07-11 | |
| dc.date.issued | 2017 | |
| dc.identifier | ntnudaim:17868 | |
| dc.identifier.uri | http://hdl.handle.net/11250/2455599 | |
| dc.description.abstract | We prove existence and uniqueness of classical solutions for a fractional Mean Field Game system with non-local coupling, where the fractional exponent is greater than 1/2. To our knowledge this is not proven before in the literature, and is therefore a new result. In addition, we show regularity in time and space for the fractional Hamilton- Jacobi equation, and use this result to show regularity for the fractional Fokker-Planck equation. | |
| dc.language | eng | |
| dc.publisher | NTNU | |
| dc.subject | Applied and Engineering Mathematics | |
| dc.title | Well-Posedness of a Fractional Mean Field Game System with Non-Local Coupling | |
| dc.type | Master thesis |
