Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773905 | Journal of Differential Equations | 2017 | 34 Pages |
Abstract
We firstly prove Strichartz estimates for the fractional Schrödinger equations on Rd,dâ¥1 endowed with a smooth bounded metric g. We then prove Strichartz estimates for the fractional Schrödinger and wave equations on compact Riemannian manifolds without boundary (M,g). This result extends the well-known Strichartz estimate for the Schrödinger equation given in [1]. We finally give applications of Strichartz estimates for the local well-posedness of the pure power-type nonlinear fractional Schrödinger and wave equations posed on (M,g).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Van Duong Dinh,