Tuesday, February 22, 2022 - 09:45 in H7 + Zoom
Regularity and approximation of fractional quasi-linear operators on Lipschitz domains
A talk in the Nonlocal Equations: Analysis and Numerics series by
Juan Pablo Borthagaray from Montevideo
| Abstract: |
In this talk, we discuss the formulation, regularity and finite element approximation of certain fractional quasi-linear operators on Lipschitz domains. As a model, we consider the fractional $p$-Laplacian of order $s$, where $p \in (1,\infty)$ and $s \in (0,1)$ and which in case $p = 2$ reduces to the integral fractional Laplacian. We discuss recent results about Besov regularity on Lipschitz domains and a priori error estimates for finite element discretizations.
Within the CRC this talk is associated to the project(s): A7 |
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