Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDES and block operator matrices

Brown, Brian Malcolm, Marletta, Marco, Naboko, Serguei, Wood, Ian (2008) Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDES and block operator matrices. Journal of the London Mathematical Society, 77 (3). pp. 700-718. ISSN 0024-6107. (doi:10.1112/jlms/jdn006) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23939)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1112/jlms/jdn006

Abstract

Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses,

we consider the Weyl M-function of extensions of the operators. The extensions are determined by abstract

boundary conditions and we establish results on the relationship between the M-function as an analytic function

of a spectral parameter and the spectrum of the extension. We also give an example where the M-function does

not contain the whole spectral information of the resolvent, and show that the results can be applied to elliptic

PDEs where the M-function corresponds to the Dirichlet to Neumann map.

Item Type:	Article
DOI/Identification number:	10.1112/jlms/jdn006
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Ian Wood
Date Deposited:	09 Apr 2010 10:58 UTC
Last Modified:	20 May 2025 11:34 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/23939 (The current URI for this page, for reference purposes)

University of Kent Author Information

Naboko, Serguei.

Creator's ORCID:
CReDIT Contributor Roles:

Wood, Ian.

Creator's ORCID:	https://orcid.org/0000-0001-7181-7075
CReDIT Contributor Roles:

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