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SUMMARY:Quantitative isoperimetric inequalities for the eigenvalues of ell
 iptic operators
DTSTART:20170518T091500
DTEND:20170518T104500
DTSTAMP:20260407T102357Z
UID:7a001efdcff1d11cb84bb269f925ee5be51cd4cf2cfc41e854beb3a9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Davide Buoso (Universidade de Lisboa)\nIsoperimetric inequalit
 ies regarding the eigenvalues of the Laplace operator (for different types
  boundary conditions) are nowadays considered classical results. In this l
 ecture we will discuss their quantitative versions\, i.e.\, more refined i
 nequalities that take into account "how far" the domain is from being the 
 optimal one. Remarkably\, all the main inequalities have been refined in j
 ust a few years\, the last of which (that of the Robin problem) appeared o
 nly half a year ago. We shall consider the derivations of quantitative iso
 perimetric inequalities as well as the issue of their sharpness. We will t
 hen move to the biharmonic operator\, for which very little is known in th
 is regard. We will conclude with some open questions.
LOCATION:CM 1 104
STATUS:CONFIRMED
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