Schattenvon Neumann estimates for resolvent differences of Robin Laplacians on a halfspace
Abstract
The difference of the resolvents of two Laplacians on a halfspace subject to Robin boundary conditions is studied. In general this difference is not compact, but it will be shown that it is compact and even belongs to some SchattenvonNeumann class, if the coefficients in the boundary condition are sufficiently close to each other in a proper sense. In certain cases the resolvent difference is shown to belong even to the same Schattenvon Neumann class as it is known for the resolvent difference of two Robin Laplacians on a domain with a compact boundary.
 Publication:

arXiv eprints
 Pub Date:
 August 2011
 arXiv:
 arXiv:1108.5538
 Bibcode:
 2011arXiv1108.5538L
 Keywords:

 Mathematics  Spectral Theory;
 Mathematics  Analysis of PDEs
 EPrint:
 to appear in Operator Theory: Advances and Applications