Partial Inverse Problems for Dirac Operators on Star Graphs
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DOI: 10.1007/s00009-020-01620-5
Abstract: Partial inverse problems for Dirac operators on star graphs are studied. We consider Dirac operators on the graphs, and prove that the potential on one edge is uniquely determined by part of its spectra and… read more here.
Keywords: dirac operators; problems dirac; star graphs; inverse problems ... See more keywords
Inverse problems for Dirac operator with the potential known on an interior subinterval
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DOI: 10.1007/s13324-017-0188-2
Abstract: The inverse spectral problems for Dirac operator with the potential known on an interior subinterval are considered. We prove that the potential on the entire interval and boundary conditions are uniquely determined in terms of… read more here.
Keywords: problems dirac; potential known; operator potential; interior subinterval ... See more keywords
Higher dimensional transmission problems for Dirac operators on Lipschitz domains
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DOI: 10.1016/j.jmaa.2019.05.040
Abstract: Abstract Transmission boundary value problems for the time-harmonic Maxwell system, the Helmholtz operator, and the perturbed Dirac operator are formulated, using Clifford algebras, on bounded Lipschitz domains of R m with m ≥ 3 .… read more here.
Keywords: problems dirac; dimensional transmission; higher dimensional; transmission ... See more keywords