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Browsing by Subject "Helmholtz equation"

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  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Eigenvalue problems for some classes of differential operators
    (Data obrony: 2020-12-10) Maciaszek, Michał
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces
    (2006) Castro, Luís P.; Natrošvili, David Georgievič
    We consider a boundary-transmission problem for the Helmholtz equation, in a Bessel potential space setting, which arises within the context of wave diffraction theory. The boundary under consideration consists of a strip, and certain reactance conditions are assumed on it. Operator theoretical methods are used to deal with the problem and, as a consequence, several convolution type operators are constructed and associated to the problem. At the end, the well-posedness of the problem is shown for a range of regularity orders of the Bessel potential spaces, and for a set of possible reactance numbers (dependent on the wave number).
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Transmission problems for the Helmholtz equation for a rectilinear-circular lune
    (2007) Denysenko, Volodymyr
    The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection for the solutions of the Helmholtz equation through the segment.