Discrete Fourier Restriction Phenomenon Associated with Some Periodic Nonlinear Dispersive Equations

Research output: Contribution to conferencePresentation

Abstract

The talk is based on the joint work of Xiaochun Li and I. In this talk, I will present the results we got for some type of discrete Fourier restriction, which is equivalent to the periodic Strichartz estimate in PDEs. The periodic Strichartz estimate is in the form of exponential sums, so some number theory skills will be applied. With Strichartz estimates, as well as some classical technique, we also proved the sharp results of the local well-posedness of general KdV equations and fifth order KdV type equations with polynomial nonlinear terms.

Original languageAmerican English
StatePublished - Oct 19 2012
EventDepartment Colloquium -
Duration: Oct 19 2012 → …

Conference

ConferenceDepartment Colloquium
Period10/19/12 → …

Disciplines

  • Mathematics

Keywords

  • Discrete fourier

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