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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Spectral stability for higher order elliptic operators subject to 
 homogeneous boundary conditions on varying domains
DTSTART:20161130T150000
DTEND:20161130T161500
DTSTAMP:20260508T174042Z
UID:9960c6450a7c14b167ef1186f6a8b06765ba87e4b8234cc09e11f92f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Pier Domenico Lamberti (Università degli Studi di Padov
 a)\nWe consider elliptic partial differential operators of second and high
 er order\, subject to homogeneous boundary conditions on bounded domains o
 f the N-dimensional Euclidean space. We discuss a general theorem ensuring
  their spectral stability upon perturbation of the underlying domain\, in 
 the frame of  so-called E-compact convergence. We discuss some applicatio
 ns to the case of the bi-harmonic operator with Dirichlet\, Neumann and In
 termediate boundary conditions. In particular\, in the case of Intermediat
 e boundary conditions\, we analyze the limiting behavior of the problem wh
 en the boundary of the domain is described by a periodic oscillatory profi
 le depending on a parameter. We show that there is a critical parameter su
 ch that the limiting problem depends on whether we are above\, below or ju
 st sitting on such critical value. The critical case leads to the study of
  a somewhat typical homogenization problem and provides a limiting strange
  term which plays the role of a “strange curvature”. Time permitting\,
  boundary homogenization for the triharmonic operator will also be conside
 red.\n       \nBased on joint works with José M. Arrieta and Francesc
 o Ferraresso.
LOCATION:MA 10
STATUS:CONFIRMED
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