Operator error estimates for homogenization of elliptic systems with periodic coefficients

Add to your list(s) Download to your calendar using vCal

• Suslina, T (Saint Petersburg State University)
• Friday 27 March 2015, 10:00-11:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Periodic and Ergodic Spectral Problems

We study a wide class of matrix elliptic second order differential operators $A_arepsilon$ in a bounded domain with the Dirichlet or Neumann boundary conditions. The coefficients are assumed to be periodic and depend on $x/arepsilon$. We are interested in the behavior of the resolvent of $A_arepsilon$ for small $arepsilon$. Approximations of this resolvent in the $L_2 o L_2$ and $L_2 o H^{1$ operator norms are obtained. In particular, a sharp order estimate $$ | (A_arepsilon – zeta I)}{-1} – (A^{0 – zeta I)}{-1} |_{L_2 o L_2} le Carepsilon $$ is proved. Here $A^0$ is the effective operator with constant coefficients.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.