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2001 APPROXIMATION OF DEGENERATE SEMIGROUPS
Wolfgang Arendt
Taiwanese J. Math. 5(2): 279-295 (2001). DOI: 10.11650/twjm/1500407337

Abstract

By a continuous degenerate semigroup we mean a strongly continuous mapping T : R+ ! L(X) having the semigroup property. Thus, T (0) is a projection which may be different from the identity. The main theorem is a Trotter-Kato type approximation result for such degenerate semigroups. It is used to study convergence of heat semigroups with respect to variable domains.

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Wolfgang Arendt. "APPROXIMATION OF DEGENERATE SEMIGROUPS." Taiwanese J. Math. 5 (2) 279 - 295, 2001. https://doi.org/10.11650/twjm/1500407337

Information

Published: 2001
First available in Project Euclid: 18 July 2017

zbMATH: 1025.47023
MathSciNet: MR1832168
Digital Object Identifier: 10.11650/twjm/1500407337

Rights: Copyright © 2001 The Mathematical Society of the Republic of China

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Vol.5 • No. 2 • 2001
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