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>
 
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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> 
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