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SUMMARY:Norm-Resolvent Convergence in Perforated Domains - Frank Roesler (
 Cardiff University)
DTSTART:20181122T150000Z
DTEND:20181122T160000Z
UID:TALK114445@talks.cam.ac.uk
CONTACT:Dr Hansen
DESCRIPTION:For several different types of boundary conditions (Dirichlet\
 , Neumann and Robin)\, we prove norm-resolvent convergence in L2 for the L
 aplacian in an open domain perforated epsilon-periodically by spherical ho
 les. The limit operator is of the form -Δ+m on the unperforated domain\, 
 where m is a positive constant. \nThis is an improvement of previous resul
 ts [Cioranescu & Murat. A Strange Term Coming From Nowhere\, Progress in N
 onlinear Differential Equations and Their Applications\, 31\, (1997)]\, [S
 . Kaizu. The Robin Problems on Domains with Many Tiny Holes. Proc. Japan A
 cad.\, 61\, Ser. A (1985)]\, which show strong resolvent convergence. \nIn
  particular\, our result implies convergence of the spectrum of the operat
 or for the perforated domain problem. 
LOCATION:MR14\, Centre for Mathematical Sciences
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