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- Title
Evolution of Weyl Functions and Initial-Boundary Value Problems.
- Authors
Sakhnovich, A. L.
- 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 over determined 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.
- Subjects
WEYL theory of boundary value problems; DIRAC equation; NUMERICAL solutions to wave equations; SPECTRAL theory; INVERSE problems
- Publication
Mathematical Modelling of Natural Phenomena, 2016, Vol 11, Issue 2, p111
- ISSN
0973-5348
- Publication type
Article
- DOI
10.1051/mmnp/201611209