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. In 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.
CITATION STYLE
Lotoreichik, V., & Rohleder, J. (2012). Schatten-von neumann estimates for resolvent differences of robin laplacians on a half-space. In Operator Theory: Advances and Applications (Vol. 221, pp. 453–468). Springer International Publishing. https://doi.org/10.1007/978-3-0348-0297-0_26
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