Boundary Value Problems, Weyl Functions, and Differential Operators

Jussi Behrndt; Henk de Snoo; Seppo Hassi

doi:10.1007/978-3-030-36714-5

Boundary Value Problems, Weyl Functions, and Differential Operators

Jussi Behrndt^*, Henk de Snoo, Seppo Hassi

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Book/Report › Book › peer-review

Abstract

In this monograph the theory of boundary triplets and their Weyl functions is developed and applied to the analysis of boundary value problems for differential equations and general operators in Hilbert spaces. Concrete illustrations by means of weighted Sturm–Liouville differential operators, canonical systems of differential
equations, and multidimensional Schr¨odinger operators are provided. The abstract notions of boundary triplets and Weyl functions have their roots in the theory of ordinary differential operators; they appear in a slightly different context also in
the treatment of partial differential operators.

Original language	English
Place of Publication	Cham
Publisher	Birkhäuser
Number of pages	772
Volume	108
ISBN (Print)	978-3-030-36714-5
DOIs	https://doi.org/10.1007/978-3-030-36714-5
Publication status	Published - 2020

Publication series

Name	Monographs in Mathematics
Volume	108

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10.1007/978-3-030-36714-5Licence: CC BY 4.0

Cite this

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AB - In this monograph the theory of boundary triplets and their Weyl functions is developed and applied to the analysis of boundary value problems for differential equations and general operators in Hilbert spaces. Concrete illustrations by means of weighted Sturm–Liouville differential operators, canonical systems of differentialequations, and multidimensional Schr¨odinger operators are provided. The abstract notions of boundary triplets and Weyl functions have their roots in the theory of ordinary differential operators; they appear in a slightly different context also inthe treatment of partial differential operators.

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ER -

Boundary Value Problems, Weyl Functions, and Differential Operators

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