대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제35권1호
  • /
  • Pages.45-52
  • /
  • 1998
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Exponential formula for exponentially bounded C-semigroups

  • Lee, Young S. (Department of Mathematics, Seoul Women's University, Seoul 139-774)
  • 발행 : 1998.02.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we establish the exponential formula for C-semigroup. If A is the generator of a C-semigroup S(t), then S(t) can be represented by exp(tA) in some sense.

키워드

참고문헌

  1. Proc. London Math. Soc v.55 TheCauchy problem and a generalization of the Hille Yosida theorem E.B.Davies;M. M. H. Pang
  2. Proc. Nat. Acad. Sc. U. S. A. v.28 Representation of oneparameter semigroups of linear transformations E. Hille
  3. J. Funct. Anal v.111 Csemigroups and the Cauchy problem R. deLaubenfels
  4. Semigroup of linear operators and applications J. A. Goldstein
  5. Semigroups of linear operators and applications to partial differential equations A. Pazy