Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SEMIGROUP OF LIPSCHITZ OPERATORS

  • Lee, Young S. (Department of Mathematics Seoul women's University)
  • Received : 2006.11.17
  • Published : 2006.12.30
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Abstract

Lipschitzian semigroup is a semigroup of Lipschitz operators which contains $C_0$ semigroup and nonlinear semigroup. In this paper, we establish the cannonical exponential formula of Lipschitzian semigroup from its Lie generator and the approximation theorem by Laplace transform approach to Lipschitzian semigroup.

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