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Thursday, June 1, 2023 - 10:15 in V3-201


Pointwise estimates and fine higher regularity for nonlocal equations with irregular coefficients

A talk in the Oberseminar Geometric Analysis series by
Simon Noah Nowak from Bielefeld

Abstract: We consider nonlocal equations with irregular coefficients and present pointwise gradient estimates in terms of Riesz potentials as well as estimates in terms of certain fractional maximal functions. These pointwise estimates lead to fine higher regularity results in many commonly used function spaces, in the sense that they enable us to detect finer scales that are difficult to reach by more traditional methods. The talk is based on joint works with Lars Diening, Tuomo Kuusi and Yannick Sire.

Within the CRC this talk is associated to the project(s): A3, A7



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