Non-standard partial integration: implications to Maxwell and Korn inequalities - or: How one cannot apply the closed graph theorem!
Prof. Dirk PaulyOct. 13, 2015, 3:30 p.m. S2 059
In our efforts to prove estimates for the Maxwell constants in convex domains, it turned out that in (piecewise) concave domains interesting new non-standard first Korn inequalities hold.
A special case of these non-standard Korn inequalities has been used by Cedric Villani in his celebrated (fields medal) works. We will discuss a disturbing consequence.