|
Organizers |
Extremal problems for harmonic gradients
by
L. Baratchart
INRIA, Sophia-Antipolis, France
Coauthors: A. Bonami and S. Grellier
We consider an extremal problem on the sphere or the hyperplane in Rn, where the BMO distance to a harmonic gradient of a vector field whose tangential component is a gradient is to be minimized. We obtain a Nehari-type theorem where this distance is proved equivalent to the norm of a Hankel-type operator constructed from the additive decomposition of H1 functions into sums of curl.grad products, as follows from compensated compactness. This result may be used to regularize overdetermined Dirichlet-Neumann issues.
Date received: January 30, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-27.