충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제28권4호
  • /
  • Pages.553-559
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  • 2015
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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APPROXIMATION OF INTEGRATED SEMIGROUPS

  • 투고 : 2015.07.08
  • 심사 : 2015.10.26
  • 발행 : 2015.11.15
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초록

The purpose of this paper is to show an integrated semigroup on a Banach space can be approximated by a sequence of integrated semigroups acting on different Banach spaces.

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참고문헌

  1. W. Arendt, Vector-valued Laplace transforms and Cauchy problem, Israel J. Math. 59 (1987), 327-352. https://doi.org/10.1007/BF02774144
  2. H. Kellerman and M. Hieber, Integrated semigroups, J. Funct. Anal. 84 (1989), 160-180. https://doi.org/10.1016/0022-1236(89)90116-X
  3. G. Da Prato and E. Sinestrari, Differential operators with non dense domain, Ann. Sc. Norm Super. Pisa Cl Sci. 14 (1987), 285-334.
  4. A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer, New York, (1983).
  5. T. J. Xiao and J. Liang, Approximations of Laplace transforms and integrated semigroups, J. Funct. Anal. 172 (2000), 202-200. https://doi.org/10.1006/jfan.1999.3545