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Functional model for boundary-value problems

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arxiv 1907.08144 v6 pith:ZPMBBZXZ submitted 2019-07-18 math.AP cond-mat.mtrl-scimath-phmath.FAmath.MP

Kirill D. Cherednichenko , Alexander V. Kiselev , Luis O. Silva This is my paper · ORCID
classification math.APcond-mat.mtrl-scimath-phmath.FAmath.MP
keywords 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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