# Spectral asymptotics for resolvent differences of elliptic operators with $\delta$ and $\delta^\prime$-interactions on hypersurfaces

@article{Behrndt2005SpectralAF,
title={Spectral asymptotics for resolvent differences of elliptic operators with \$\delta\$ and \$\delta^\prime\$-interactions on hypersurfaces},
author={J. Behrndt and G. Grubb and Matthias Langer and V. Lotoreichik},
journal={arXiv: Spectral Theory},
year={2005}
}
• J. Behrndt, +1 author V. Lotoreichik
• Published 2005
• Mathematics, Physics
• arXiv: Spectral Theory
• We consider self-adjoint realizations of a second-order elliptic differential expression on ${\mathbb R}^n$ with singular interactions of $\delta$ and $\delta^\prime$-type supported on a compact closed smooth hypersurface in ${\mathbb R}^n$. In our main results we prove spectral asymptotics formulae with refined remainder estimates for the singular values of the resolvent difference between the standard self-adjoint realizations and the operators with a $\delta$ and $\delta^\prime$-interaction… CONTINUE READING