Null form estimates for the wave equation
Speaker:
Ana Maria Vargas Rey, Universidad Autónoma de Madrid
Date and Time:
Friday, February 22, 2008 - 4:00pm to 4:45pm
Location:
Fields Institute, Room 230
Abstract:
This is a joint work with Sanghyuk Lee and Keith Rogers. Null form estimates for the wave equation have been considered by several authors, as Foschi, Klainerman, Machedon, Selberg, Tao, Tataru. They are inequalities of the form
where φ and ψ are solutions of the wave equation. We obtain sharp estimates in dimension n ≥ 3, except for the endpoints.