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Approximation theorem for contraction C-semigroups

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In this paper we establish approximation of contraction C-semigroups on the extrapolation space XC, by showing the equicontinuity of contraction C-semigroups on XC.

Abstract

In this paper we establish approximation of contraction C-semigroups on the extrapolation space XC, by showing the equicontinuity of contraction C-semigroups on XC.

참고문헌 (7)

  1. W. Arendt, "Vector-Valued Laplace Transforms and Cauchy Problems" (2001), Birkhaser
  2. R. deLaubenfels, "Existence Families, Functional Calculi and Evolution Equations", Lecture Notes in Math., 157 (1994), Springer-Verlag
  3. K.J. Engel, "One Parameter Semigroups for Linear Evolution Equa-tions" (2000), Springer-Verlag
  4. M. Bachar, "Mardiyana, A Class of Semigroups Regularized in Space and Time", J. Math. Anal. Appl., 314, pp.558~578 (2006)
  5. M. Li, "Characterization of Contraction C-semigroups", Proc. Amer. Math. Soc., 통권 : 126, pp.1063~1069 (1998)
  6. Y. C. Li, "N-times Integrated C-semigroups and the Abstract Cauchy Problems", Taiwanese J. Math., 1, pp.75~102 (1997)
  7. T. J. Xiao, "Approximations of Laplace Transforms and Integrated Semigroups", J. Funct. Anal., 172, pp.202~220 (2000)

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