On the spectrum of well-defined restrictions and extensions for the Laplace operator

DOI10.1134/S0001434614030183zbMath1318.47059MaRDI QIDQ2342001

Bazarkan N. Biyarov

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceVolterra operatorLaplace operatorelliptic operatorPoisson operatormaximal (minimal) operatorVolterra well-defined restrictions and extensions of operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) General theory of partial differential operators (47F05)

Related Items (4)

On hyponormal and dissipative correct extensions and restrictions ⋮ Correct restrictions of first-order functional–differential equation ⋮ An abstract theorem on completeness of systems of root vectors of correct restrictions ⋮ Volterra relatively compact perturbations of the Laplace operator

Cites Work

• Analytic continuation of weighted Bergman kernels
• Singular Green operators and their spectral asymptotics
• Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators
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