Functional model for boundary-value problems
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math.AP
cond-mat.mtrl-scimath-phmath.FAmath.MP
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problemsassociatedboundary-valuefunctionalmodeloperatorsanalysisarising
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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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