Spectral asymptotics for resolvent differences of elliptic operators with \(\delta\) and \(\delta^{'}\)-interactions on hypersurfaces

DOI10.4171/JST/111zbMath1353.47090arXiv1404.2791MaRDI QIDQ906570

Matthias Langer, Gerd Grubb, Jussi Behrndt, Vladimir Lotoreichik

Publication date: 22 January 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2791

zbMATH Keywords

spectral asymptotics singular values elliptic operator \(\delta\)-potential \(\delta^\prime\)-potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Pseudodifferential operators (47G30)

Related Items (9)

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Scattering of particles bounded to an infinite planar curve ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods

Cites Work

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