Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Restriction Problem and Application to Schrodinger Equation (I)
Guo-Dong Hong (National Taiwan University)
Abstract:
The restriction problem concerning the Fourier transform restricted to the lower dimension manifold dated back the work of C. Fefferman and E. Stein around 1970. While the case in
was solved, the restriction problem is still open when
.
In this talk, I will briefly discuss the history of the restriction problem with the classical Tomas-Stein theorem, introduce Strichartz’s estimate which has a close relationship with the restriction problem, and then use Strichartz’s estimate to solve the Cauchy problem of the critical nonlinear Schrodinger equation.
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