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Sebastian Schwarzacher: Global Schauder estimates for the p-Laplacian and p-Stokes operator for rough domains

Time: Tue 2022-11-29 14.00 - 15.00

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Sebastian Schwarzacher - Uppsala University

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 In this talk we collect some estimates for the gradient of solutions, to the p-Laplace system with right-hand side in divergence form. Both estimates inside the domain for local solutions, and global estimates for solutions to boundary value problems are discussed, for Dirichlet boundary values. An outlook for generalizations is given. In that relation global estimates for the p-Stokes operator are presented. The talk covers joint works ion collaboration with: D. Breit, A. Cianchi, L. Diening, V. Macha and T. Kuusi.