Počet záznamů: 1

ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS

  1. 1.
    0338784 - UJF-V 2010 RIV US eng J - Článek v odborném periodiku
    Borisov, Denis I.
    ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS.
    ST PETERSBURG MATHEMATICAL JOURNAL. Roč. 20, č. 2 (2009), s. 175-191 ISSN 1061-0022
    Grant CEP: GA MŠk LC06002
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: Homogenization of differentiable operators * unbounded domain * fast and slow variables
    Kód oboru RIV: BG - Jaderná, atomová a mol. fyzika, urychlovače

    A singularly perturbed second order elliptic system in the entire space is treated. The coefficients of the systems oscillate rapidly and depend on both slow and fast variables. The homogenized operator is obtained and, in the uniform norm sense, the leading terms of the asymptotic expansion are constructed for the resolvent of the operator described by the system. The convergence of the spectrum is established, and examples are given.
    Trvalý link: http://hdl.handle.net/11104/0182466