Evolution of Weyl functions and initial-boundary value problems
Spectral Theory
2016-11-03 v1 Mathematical Physics
Analysis of PDEs
Classical Analysis and ODEs
Dynamical Systems
math.MP
Abstract
This review is dedicated to some recent results on Weyl theory, inverse problems, evolution of the Weyl functions and applications to integrable wave equations in a semistrip and quarter-plane. For overdetermined initial-boundary value problems, we consider some approaches, which help to reduce the number of the initial-boundary conditions. The interconnections between dynamical and spectral Dirac systems, between response and Weyl functions are studied as well.
Cite
@article{arxiv.1507.08796,
title = {Evolution of Weyl functions and initial-boundary value problems},
author = {Alexander Sakhnovich},
journal= {arXiv preprint arXiv:1507.08796},
year = {2016}
}
Comments
This paper is a review of recent results, including results from our papers: arXiv:1112.1325, arXiv:1401.3605, arXiv:1403.8111, arXiv:1405.3500 and arXiv:1507.00032