Thursday, March 20, 2025 - 14:40 in V2-205
De Giorgi’s method for systems
A talk in the Nonlocal Equations: Analysis and Numerics series by
Linus Behn from Bielefeld
| Abstract: |
We investigate regularity properties of solutions to nonlinear systems. We
show that they satisfy a convex hull property. This is the generalization of
the maximum principle to the case of systems. Additionally, we show local
boundedness of solutions by using a vectorial version of the De Giorgi iteration. These results are obtained for both for local and nonlocal systems.
Joint work with Lars Diening, Simon Nowak, and Toni Scharle.
Within the CRC this talk is associated to the project(s): A7 |
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