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SUMMARY:Operator error estimates for homogenization of elliptic systems wi
 th periodic coefficients - Suslina\, T (Saint Petersburg State University)
DTSTART:20150327T100000Z
DTEND:20150327T110000Z
UID:TALK58627@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study a wide class of matrix elliptic second order differen
 tial operators $A_arepsilon$ in a bounded domain with the Dirichlet or Ne
 umann boundary conditions. The coefficients are assumed to be periodic and
  depend on $x/arepsilon$. We are interested in the behavior of the resolv
 ent of $A_arepsilon$ for small $arepsilon$. Approximations of this resol
 vent in the $L_2	o L_2$ and $L_2 	o H^1$ operator norms are obtained. In p
 articular\, a sharp order estimate   \n$$\n| (A_arepsilon - zeta I)^{-1} 
 - (A^0 - zeta I)^{-1}\n|_{L_2 	o L_2} le Carepsilon\n$$\nis proved. Here 
 $A^0$ is the effective operator with constant coefficients.\n
LOCATION:Seminar Room 1\, Newton Institute
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