Functional model for boundary-value problems (1907.08144v6)

Published 18 Jul 2019 in math.AP, cond-mat.mtrl-sci, math-ph, math.FA, and math.MP

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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