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
![](https://chart.googleapis.com/chart?cht=tx&chl=%24n%3D2%24&chf=bg,s,333333&chco=ffffff)
was solved, the restriction problem is still open when
![](https://chart.googleapis.com/chart?cht=tx&chl=%24n%5Cgeq3%24&chf=bg,s,333333&chco=ffffff)
.
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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