On the dimension of divergence sets of dispersive equations
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Colleges, School and Institutes
We refine results of Carleson, Sjogren and Sjolin regarding the pointwise convergence to the initial data of solutions to the Schrodinger equation. We bound the Hausdorff dimension of the sets on which convergence fails. For example, with initial data in, the sets of divergence have dimension at most one.
|Number of pages||24|
|Publication status||Published - 1 Mar 2011|