Sharp spherically averaged Strichartz estimates for the Schrödinger equation
arXiv:1406.2525
Abstract
We prove generalized Strichartz estimates with weaker angular integrability for the Schrödinger equation. Our estimates are sharp except some endpoints. Then we apply these new estimates to prove the scattering for the 3D Zakharov system with small data in the energy space with low angular regularity. Our results improve the results obtained recently in \cite{GLNW}.
21 pages, 0 figures