Schatten-von Neumann Estimates for Resolvent Differences of Robin Laplacians on a Half-space

Conference paper
First Online:
Part of the Operator Theory: Advances and Applications book series (OT, volume 221)

Abstract

The difference of the resolvents of two Laplacians on a half-space 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 Schatten-von Neumann class, if the coefficients in the boundary condition are sufficiently close to each other in a proper sense.I n certain cases the resolvent difference is shown to belong even to the same Schatten-von Neumann class as it is known for the resolvent difference of two Robin Laplacians on a domain with a compact boundary.

Keywords

Robin Laplacian Schatten-von Neumann class non-selfadjoint operator quasi-boundary triple. 
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Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Institut für Numerische MathematikTechnische Universität GrazGrazAustria

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