Monday, February 21, 2022 - 16:45 in H7 + Zoom
Two nonlocal counterexamples
A talk in the Nonlocal Equations: Analysis and Numerics series by
Anna Kh. Balci from Bielefeld
| Abstract: |
We construct two counterexamples on the regularity properties of nonlocal equations. We present the Lavrentiev energy gap for the nonlocal variational problem of double-phase potencial type. This means that the energy taken over the space $W^{s,p}$ could be strictly less then $W^{s,q}$-energy. The second counterexample is Meyer's-type counterexample to the regularity properties of solution to the weighted nonlocal Laplace equation. I will talk about results of ongoing projects with Lars Diening and Moritz Kassmann from Bielefeld and Ho-Sik Lee from Seoul.
Within the CRC this talk is associated to the project(s): A7 |
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