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arXiv · 1012.4596

Spectral estimates for resolvent differences of self-adjoint elliptic operators

Jussi Behrndt·Matthias Langer·Vladimir Lotoreichik
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Abstract

The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations. In the present paper the abstract notion is further developed, and general theorems on resolvent differences belonging to operator ideals are proved. The results are applied to second order elliptic differential operators on bounded and exterior domains, and to partial differential operators with $\delta$ and $\delta'$-potentials supported on hypersurfaces.

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BibTeXRIS

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik. 2010-12-21. Spectral estimates for resolvent differences of self-adjoint elliptic operators. https://doi.org/10.1007/s00020-013-2072-2

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