Functional model for boundary-value problems
Analysis of PDEs
2022-05-10 v6 Materials Science
Mathematical Physics
Functional Analysis
math.MP
Abstract
We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then 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.
Cite
@article{arxiv.1907.08144,
title = {Functional model for boundary-value problems},
author = {Kirill D. Cherednichenko and Alexander V. Kiselev and Luis O. Silva},
journal= {arXiv preprint arXiv:1907.08144},
year = {2022}
}
Comments
25 pages, 1 figure