Restriction for homogeneous polynomial surfaces in R^3
We prove an optimal restriction theorem for an arbitrary homogeneous polynomial hypersurface (of degree at least 2) in R^3, with affine curvature introduced as mitigating factor.
math.CA↗
arXiv subjects
A. Carbery
Publications and source records attributed to A. Carbery.
Some special solutions of the Schroedinger equation
We describe a certain "self-similar" family of solutions to the free Schroedinger equation in all dimensions, and derive some consequences of such solutions for two specific problems.
math.AP↗