The PDEs and Applications seminar: Interior estimates for elliptic operators associated with low regularity Riemannian metrics
- Date: –11:00
- Location: Biomedicinskt centrum, BMC Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
- Lecturer: David Maxwell, University of Alaska Fairbanks
- Organiser: Matematiska institutionen
- Contact person: Kaj Nyström
Abstract: Work in general relativity sometimes requires using elliptic operators associated with metrics having low Sobolev regularity. In this talk we describe the mapping properties of these operators, and an elementary approach to establishing interior elliptic estimates for these operators from scaling arguments, without resort to pseudo differential operators with rough coefficients. This is joint work with Michael Holst and Gantumur Tsogtgerel.