arXiv:1907.08144 Abstract | arXiv Analytics

arXiv:1907.08144 [math.AP]Abstract References Reviews Resources

Functional model for boundary value problems and its application to the spectral analysis of transmission problems

Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva

Published 2019-07-18Version 1

We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We provide explicit formulae for the resolvents of the associated extensions of symmetric operators in terms of the associated generalised Dirichlet-to-Neumann maps, which can be utilised in the analysis of the properties of parameter-dependent problems as well as in the study of their spectra.

Comments: 33 pages

Categories: math.AP, cond-mat.mtrl-sci, math-ph, math.FA, math.MP

Subjects: 47A45, 34L25, 81Q35

Keywords: boundary value problems, functional model, spectral analysis, transmission problems, application

Related articles: Most relevant | Search more

arXiv:0905.2224 [math.AP] (Published 2009-05-14, updated 2009-05-20)

A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery

Bin Dong, Aichi Chien, Zuowei Shen, Stanley Osher

arXiv:1312.4506 [math.AP] (Published 2013-12-16, updated 2015-04-20)

Random weighted Sobolev inequalities and application to quantum ergodicity

Didier Robert, Laurent Thomann

arXiv:math/0404450 [math.AP] (Published 2004-04-25, updated 2004-05-05)