Functional model for generalised resolvents and its application to time-dispersive media
Abstract Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, whose effective descriptions have involved generalised resolvents, we construct the functional model for a typical example of the latter. This provides a spectral representation for the generalised resolvent, which can be utilised for further analysis, in particular the construction of the scattering operator in related wave propagation setups.
Authors
- Kirill Cherednichenko (ORCID: https://orcid.org/0000-0002-0998-7820)
- Serguei Naboko (ORCID: https://orcid.org/0000-0003-3604-0664)
- Yulia Yu. Ershova (ORCID: https://orcid.org/0000-0002-6075-1135)
Institutions
- St Petersburg University (RU)
- University of Bath (GB)
- Texas A&M University (US)
Publication Details
- Journal
- Analysis and Mathematical Physics
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1007/s13324-024-00993-0
- Citations
- 1
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- Consejo Nacional de Ciencia y Tecnología
- Russian Science Foundation
- Engineering and Physical Sciences Research Council