Wednesday, March 8, 2023 - 14:45 in H2
Harnack inequalities and Hölder estimates for fully nonlinear integral equations with weak scaling conditions
A talk in the Nonlocal Equations: Analysis and Numerics 2023 series by
Shuhei Kitano from Waseda
| Abstract: |
In this talk I will first review the recent advancement of the regularity theory of fully nonlinear integral equations with measurable coefficients. I will then present Harnack inequalities and Hölder estimates under weak scaling conditions, as first explored by Grzywny and Szczypkowski (2019) for non-symmetric integral equations with continuous coefficients. Additionally, I will demonstrate various examples of integral equations that do or do not satisfy our assumptions and construct harmonic functions for which the Harnack inequality fails.
Within the CRC this talk is associated to the project(s): A7 |
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