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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Angewandte Mathematik (5040)

Publikation: Buch/Bericht/Konferenzband › Buch (Autorenwerk) › Begutachtung

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.

Originalsprache	englisch
Erscheinungsort	Cham
Verlag	Birkhäuser
Seitenumfang	772
Band	108
ISBN (Print)	978-3-030-36714-5
DOIs	https://doi.org/10.1007/978-3-030-36714-5
Publikationsstatus	Veröffentlicht - 2020

Publikationsreihe

Name	Monographs in Mathematics
Band	108

Zugriff auf Dokument

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

Dieses zitieren

@book{b948c1de6335424b8df8f1dc085b933f,

title = "Boundary Value Problems, Weyl Functions, and Differential Operators",

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 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.",

author = "Jussi Behrndt and {de Snoo}, Henk and Seppo Hassi",

year = "2020",

doi = "10.1007/978-3-030-36714-5",

language = "English",

isbn = "978-3-030-36714-5",

volume = "108",

series = "Monographs in Mathematics",

publisher = "Birkh{\"a}user",

address = "Switzerland",

}

TY - BOOK

T1 - Boundary Value Problems, Weyl Functions, and Differential Operators

AU - Behrndt, Jussi

AU - de Snoo, Henk

AU - Hassi, Seppo

PY - 2020

Y1 - 2020

N2 - 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.

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.

U2 - 10.1007/978-3-030-36714-5

DO - 10.1007/978-3-030-36714-5

M3 - Book

SN - 978-3-030-36714-5

VL - 108

T3 - Monographs in Mathematics

BT - Boundary Value Problems, Weyl Functions, and Differential Operators

PB - Birkhäuser

CY - Cham

ER -

Boundary Value Problems, Weyl Functions, and Differential Operators

Abstract

Publikationsreihe

Zugriff auf Dokument

Fingerprint

Dieses zitieren