Perturbations of elliptic operators on high codimension subsets and the extension theory on indefinite metric space

DOI10.1007/BF02355833zbMath0925.35019MaRDI QIDQ1376859

Yu. G. Shondin

Publication date: 16 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

resolventsindefinite metric spaceselfadjoint extensionquantum models of point interactions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbations in context of PDEs (35B20) Higher-order elliptic equations (35J30)

Related Items (6)

On approximations of rank one ℋ₋₂-perturbations ⋮ Sturm--Liouville operators with singular potentials ⋮ Singular point-like perturbations of the Bessel operator in a Pontryagin space ⋮ Sturm-Liouville operators with singular potentials ⋮ Singular point perturbation of an odd operator in \(\mathbb{Z}_2\)-graded space ⋮ Schrödinger operators with singular potentials from the space of multiplicators

Cites Work

• Operational calculus of linear relations
• Quantum delta-like potential acting in the P state
• The effect of submanifolds upon essential self-adjointness and deficiency indices
• Representation of free solutions for Schrödinger equations with strongly singular concentrated potentials
• Quantum-mechanical models in \(R_ n\) associated with extensions of the energy operator in a Pontryagin space
• Extensions of isometric and symmetric linear relations in a Krein space
• Scattering from generalized point interactions using self-adjoint extensions in Pontryagin spaces
• Extension theory of formally normal and symmetric subspaces
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