The parabolic Harnack inequality for nonlocal equations

M Kassmann, M Weidner - arXiv preprint arXiv:2303.05975, 2023 - arxiv.org
We complete the local regularity program for weak solutions to linear parabolic nonlocal
equations with bounded measurable coefficients. Within the variational framework we prove …

Parabolic problems for direction-dependent local-nonlocal operators

J Chaker, M Kassmann, M Weidner - arXiv preprint arXiv:1912.09919, 2019 - arxiv.org
We study parabolic equations governed by integro-differential operators with nonlocal
components in some directions and local components in the remaining directions. The …