Restriction Theorems for Some surfaces of Finite Type

Ana Vargas
Autonomous University of Madrid

This is a joint work with Detlef M¨uller and Stefan Buschenhenke. We prove a bilinear restriction theorem for some model surfaces in R^3, with zero curvature but of finite type. As a consequence we obtain new restriction estimates for those surfaces. These theorems are the analogs of Wolff and Tao's theorems for cones and paraboloids.

Back to Workshop III: The Kakeya Problem, Restriction Problem, and Sum-product Theory