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ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F09%3A00338784" target="_blank" >RIV/61389005:_____/09:00338784 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BG - Nuclear, atomic and molecular physics, accelerators

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ST PETERSBURG MATHEMATICAL JOURNAL

  • ISSN

    1061-0022

  • e-ISSN

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    17

  • Pages from-to

  • UT code for WoS article

    000267497500002

  • EID of the result in the Scopus database