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arXiv · 1907.08144

Functional model for boundary-value problems

Kirill D. Cherednichenko·Alexander V. Kiselev·Luis O. Silva
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Abstract

We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the resolvents of the associated extensions of symmetric operators in terms of the associated generalised Dirichlet-to-Neumann maps, which can be utilised in the analysis of the properties of parameter-dependent problems as well as in the study of their spectra.

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Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva. 2019-07-18. Functional model for boundary-value problems. https://doi.org/10.1112/mtk.12092

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