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 language | American English |
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State | Published - Oct 19 2012 |
Event | Department Colloquium - Duration: Oct 19 2012 → … |
Conference
Conference | Department Colloquium |
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Period | 10/19/12 → … |
Disciplines
- Mathematics
Keywords
- Discrete fourier