• Title of article

    The applications of C-semigroups to the Dirac equation

  • Author/Authors

    Qiang، نويسنده , , Jingren and Li، نويسنده , , Miao and Zheng، نويسنده , , Quan، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    6
  • From page
    422
  • To page
    427
  • Abstract
    In this paper, we study first-order symmetric, hyperbolic systems of differential operator with constant coefficients on L p -spaces. We show that such systems can be governed by some C -semigroups and as an application we consider the Dirac equation. Our result improves that of Nicaise [S. Nicaise, The Hille–Yosida and Trotter–Kato theorems for integrated semigroups, J. Math. Anal. Appl. 180 (1993) 303–316].
  • Keywords
    Fourier multiplier , Dirac operator , C -semigroup , Integrated semigroup , Generator
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2009
  • Journal title
    Applied Mathematics Letters
  • Record number

    1525797