feldman (at) math.utah.edu),
Victoria Kala (victoria.kala (at) utah.edu),
or Akil Narayan (akil (at) sci.utah.edu)Monday, February 9 at 4pm. In-person LCB 222
Speaker: Héctor Chang-Lara
Área de Matemáticas Básicas, Centro de Investigación en Matemáticas
Title: Regularity Estimates for Zeroth Order Operators
Abstract: A very interesting limit case of the fractional Laplacian in R^d is given by
Lu(x) := \int_{B_1(x)} (u(x) - u(y))|y - x|^{-d} dy,
which serves as a principal example of a zeroth-order integro-differential operator. This operator arises naturally as the leading term of the logarithmic Laplacian which has been studied in recent years. In contrast with the fractional Laplacian, the scaling properties in this scenario are very delicate; in particular, the dilation of the kernel leads to a non-integrable tail, which represents a challenge for the regularity theory of solutions of equations governed by L. In this talk, I will present interior continuity estimates for solutions to a family of operators comparable to the one above, obtained in collaboration with Alberto Saldaña and Sven Jarosh.
Monday, March 2 at 4pm. In-person LCB 222
Speaker: Bodgan Raita
Department of Mathematics and Statistics, Georgetown University
Title: TBA
Abstract: TBA
feldman (at) math.utah.edu),
Victoria Kala (victoria.kala (at) utah.edu),
and
Akil Narayan (akil (at) sci.utah.edu).
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