호남수학학술지 (Honam Mathematical Journal)

  • 제26권4호
  • /
  • Pages.401-409
  • /
  • 2004
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

EXPONENTIAL FORMULA FOR C REGULARIZED SEMIGROUPS

  • LEE, YOUNG S. (Department of Mathematics Seoul Women's University)
  • 투고 : 2004.08.05
  • 심사 : 2004.09.30
  • 발행 : 2004.12.25
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초록

In this paper, we show that C-resolvent of generator can be represented by Laplace transform and establish an exponential formula for C regularized semigroups whose antiderivatives are exponentially bounded.

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참고문헌

  1. Monographs in Mathematics v.96 Vector-valued Laplace transforms and Cauchy problems Arendt, W.;Batty, C.;Hieber, M.;Neubrander, F.
  2. J. London Math. Soc. v.44 Existence and uniqueness families for the abstract Cauchy problem deLaubenfels, R.
  3. Existence families, functional calculi and evolution equations;Lecture Notes in Math. deLaubenfels, R.
  4. One-parameter semigroups for linear evolution equations Engel, K.J.;Nagel, R.
  5. Semigroups of linear operators and applications to partial differential equations Pazy, A.