Variants of Carleson’s problem for the solution to Schrödinger equations

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• Shobu Shiraki (Saitama University and University of Birmingham)
• Monday 31 January 2022, 15:00-16:00
• Aston Webb WG12.

If you have a question about this talk, please contact Jon Bennett.

We consider maximal inequalities motivated by the pointwise convergence problem for the solution of the fractional Schrödinger equation along two distinct paths, a tangential curve and lines generated by a compact set. These are variants of Carleson’s problem, which has been actively studied. After exhibiting our current positive results, we also discuss new partial results for the sharpness of the maximal inequality in the latter case (associated with the path along a set of lines). The talk is based on joint work with Chu-hee Cho.

This talk is part of the Analysis Seminar series.

This talk is included in these lists:

• Analysis Seminar
• Aston Webb WG12
• School of Mathematics Events

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