Technion - Israel Institute of Technology Department of Mathematics ===================================== PDE AND APPLIED MATHEMATICS SEMINAR ===================================== DATE: Tuesday, November 13, 2012 SPEAKER: Baptiste Devyver, Technion TITLE: On optimal Hardy-type inequalities PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 ABSTRACT: (You can also see the abstract graphically at: <http://www.math.technion.ac.il/~techm/temp/20121113DEVY.jpg> ) In $\R^n\setminus {0}$, the classical Hardy inequality holds: $$\int_{\R^n\setminus 0}|d u|^2\leq C_H\int_{\R^n\setminus0}\frac{u^2}{|x|^2},$$ where $C_H=(n-2)^2/4$ is the best Hardy constant. Furthermore, the weight $W=C_H/|x|^2$ is "optimal", in some sense. In this talk, we consider the case of an elliptic operator $P$ on a domain $\Omega$. We will present a construction which, in a lot of cases, allows us to get a optimal Hardy inequality for $P$, that is with the same kind of properties as the classical Hardy inequality. In particular, we will treat the case of the punctured domain $\Omega\setminus{0}$. For further info: Itai Shafrir <shafrir@techunix.technion.ac.il> For past and future Applied Math/PDE seminars see: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> To see today's activities and other future and past activities go to <http://www.math.technion.ac.il/~techm/today.html> Announcement from: Itai Shafrir <shafrir@math.technion.ac.il> ----------