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arXiv · 2111.05387

Functional model for generalised resolvents and its application to time-dispersive media

Kirill D. Cherednichenko·Yulia Yu. Ershova·Sergey N. Naboko
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Abstract

Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, which have involved effective descriptions involving 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.

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BibTeXRIS

Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko. 2021-11-09. Functional model for generalised resolvents and its application to time-dispersive media. https://arxiv.org/abs/2111.05387

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