Bourgain's counterexample in the sequential convergence problem for the Schr\"odinger equation
Abstract
We study the problem of pointwise convegence for the Schr\"odinger operator on Rn along time sequences. We show that the sharp counterexample to the sequential Schr\"odinger maximal estimate given recently by Li, Wang and Yan based in the construction by Luc\`a and Rogers can also be achieved with the construction of Bourgain, and we extend it to the fractal setting.
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