| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 2, 2016
Spectral problems
|
|
|---|---|---|
| Page(s) | 111 - 132 | |
| DOI | https://doi.org/10.1051/mmnp/201611209 | |
| Published online | 21 March 2016 | |
Evolution of Weyl Functions and Initial-Boundary Value Problems
Vienna University of Technology, Austria
⋆ Corresponding author.
E-mail: oleksandr.sakhnovych@tuwien.ac.at
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.
Mathematics Subject Classification: 34A55 / 34B20 / 35F46 / 35F61 / 35G61 / 35N30 / 37K15
Key words: Weyl function / inverse problem / nonlinear integrable equation / zero curvature representation / compatibility condition / initial-boundary value problem / evolution of the Weyl function / initial conditions / boundary conditions / quasi-analytic function / spectral Dirac system / dynamical Dirac system / response function
© EDP Sciences, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.