Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus

Presenters/Authors

Yi Hu, Georgia Southern UniversityFollow
Xiaochun Li, University of Illinois at Urbana-ChampaignFollow

Document Type

Presentation

Presentation Date

4-5-2014

Abstract or Description

When solving the local wellposedness of nonlinear Schrödinger equations (NLS), one needs the Strichartz estimate to control the nonlinear term. When we consider the NLS on torus, however, the exact periodic analogue of the continuous Strichartz estimate fails, which forces us to find some new inequalities of the same type. In this talk, some results for this type of restriction as well as some other related topics will be presented, including similar results for KdV equations on torus.

Sponsorship/Conference/Institution

Spring Western Sectional Meeting of the American Mathematical Society (AMS)

Location

Albequerque, NM

Recommended Citation

Hu, Yi, Xiaochun Li. 2014. "Discrete Fourier Restriction Associated With Some Dispersive Equations on Torus." Department of Mathematical Sciences Faculty Presentations. Presentation 117.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/117