The pointwise convergence problem for the free Schrodinger equation

The pointwise convergence problem for the free Schrodinger equation

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Ruixiang Zhang, University of Wisconsin–Madison
Fine Hall 314

Carleson proposed a problem on a.e. convergence for free Schrodinger solutions as time goes to zero. Recently it got a sharp answer (up to the endpoint) in all dimensions. We will talk about the new result in dimensions $n+1$ for all $n>2$ and ideas behind it (joint work with Xiumin Du).