Existence of surface conditions for nonclassical self-adjoint extensions of the Laplace operator

DOI10.1007/BF01081810zbMath0492.47025MaRDI QIDQ1167918

M. M. Gekhtman

Publication date: 1982

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

pseudodifferential operatorasymptotic properties of the spectrumextension of the Laplace operatornonclassical self-adjoint extensions of a second order elliptic differential operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Pseudodifferential operators and other generalizations of partial differential operators (35S99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (6)

Classification of nearly associative function algebras by the method of functional equations ⋮ Classification of Lie-like and other translation-invariant function algebras ⋮ Generalized resolvents and the boundary value problems for Hermitian operators with gaps ⋮ Geometric structures of double bundles and their relation to certain problems in integral geometry ⋮ Integral formulas and integral geometry for \({\bar\partial}\)-cohomologies in \({\mathbb{C}}{\mathbb{P}}^ n\) ⋮ Algebras of observables of nearly canonical physical theories. II

Cites Work

• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators
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