The speaker: Professor Jan Kristensen, University of Oxford
Title of the talk: “Gårding inequalities and their impact on regularity and uniqueness.”
Time: Thursday, 25 of February 2021, 15:00 - 16:00.
Abstract: Minimizers of strongly quasiconvex variational integrals need not be regular nor unique. However, if a suitable Gårding type inequality is assumed for the variational integral, then both regularity and uniqueness of minimizers can be restored under natural smallness conditions on the data. In turn, the Gårding inequality turns out to always hold under an a priori C1 regularity hypothesis on the minimizer, while its validity is not known in the general case. In this talk, we discuss these issues and how they are naturally connected to convexity of the variational integral on the underlying Dirichlet classes. The talk is based on joint work with Judith Campos Cordero, Bernd Kirchheim and Jan Kolar.
ZOOM Id: 836 7313 8944
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We sincerely hope you will be able to participate.