INVERSE SOURCE PROBLEM FOR KLEIN-GORDON EQUATION IN DE SITTER SPACE-TIME (Analysis of inverse problems through partial differential equations and related topics)

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Description

De Sitter space-time is a solution of the vacuum Einstein equation with a positive cosmological constant in Euclidean space. We prove a uniqueness theorem to determine a time-independent source term for the Klein-Gordon equation in de Sitter space-time up to a neighborhood of an open subset when the mass in the equation has a particular value. We establish a new method based on the Duhamel's principle and theory of distributions with compact supports to deal with inverse problems for such equations having time-dependent coefficients.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2174 108-114, 2021-02

    京都大学数理解析研究所

Details 詳細情報について

  • CRID
    1050852271198468992
  • NII Book ID
    AN00061013
  • HANDLE
    2433/263960
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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