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UID:news506@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181231T173139
DTSTART;TZID=Europe/Zurich:20121107T151500
SUMMARY:Seminar Analysis: Laura V. Spinolo (IMATI-CNR\, Pavia)
DESCRIPTION:The talk will focus on the eigenvalue problem for the Laplace  
 operator defined in an open and bounded domain\, with homogenous  conditio
 ns of either Dirichlet or Neumann type assigned at the boundary.  Under fa
 irly weak regularity assumptions on the domain\, the problem  admits a div
 erging sequence of nonnegative eigenvalues. I will discuss  some new quant
 itative estimates controlling how each of the eigenvalues  change when the
  domain is perturbed. These estimates apply to Lipschitz  and to so-called
  Reifenberg-flat domains.  The proof is based on an  abstract lemma which
  applies to both the Neumann and the Dirichlet  problem and which could be
  applied to other classes of domains. \\r\\nThe talk will be based on join
 t works with A. Lemenant and E. Milakis.
X-ALT-DESC:\nThe talk will focus on the eigenvalue problem for the Laplace 
  operator defined in an open and bounded domain\, with homogenous  conditi
 ons of either Dirichlet or Neumann type assigned at the boundary.  Under f
 airly weak regularity assumptions on the domain\, the problem  admits a di
 verging sequence of nonnegative eigenvalues. I will discuss  some new quan
 titative estimates controlling how each of the eigenvalues  change when th
 e domain is perturbed. These estimates apply to Lipschitz  and to so-calle
 d Reifenberg-flat domains.&nbsp\; The proof is based on an  abstract lemma
  which applies to both the Neumann and the Dirichlet  problem and which co
 uld be applied to other classes of domains. \nThe talk will be based on jo
 int works with A. Lemenant and E. Milakis.
DTEND;TZID=Europe/Zurich:20121107T161500
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