# 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} }

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

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