Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Boundary value problems for elliptic partial differential operators on bounded domains

Behrndt, Jussi and Langer, M. (2007) Boundary value problems for elliptic partial differential operators on bounded domains. Journal of Functional Analysis, 243 (2). pp. 536-565. ISSN 0022-1236

[img]
Preview
PDF
behrndt_langer07.pdf - Submitted Version

Download (308kB) | Preview

Abstract

For a symmetric operator or relation A with infinite deficiency indices in a Hilbert space we develop an abstract framework for the description of symmetric and self-adjoint extensions A_Θ of A as restrictions of an operator or relation T which is a core of the adjoint A^*. This concept is applied to second order elliptic partial differential operators on smooth bounded domains, and a class of elliptic problems with eigenvalue dependent boundary conditions is investigated.

Item type: Article
ID code: 4551
Keywords: boundary triple, self-adjoint extension, weyl function, M-operator, Dirichlet-to-Neumann map, Krein's formula, elliptic differential operator, boundary value problem, Mathematics, Analysis
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 01 Nov 2007
Last modified: 21 May 2015 09:55
URI: http://strathprints.strath.ac.uk/id/eprint/4551

Actions (login required)

View Item View Item