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, G. Grubb, +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
    Trace formulae for Schrödinger operators with singular interactions

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