Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 97-103.

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CHARACTERISTIC CONDITIONS FOR THE COMPLETE INFINITESIMAL GENERATORS OF ANALYTIC SEMIGROUPS OF GROWTH ORDER α

 ZHANG Xian-Wen   

  1. Dept. of Math., Huazhong Univ. of Sci. &|Tech., Wuhan 430074, China
  • Online:2000-01-07 Published:2000-01-07
  • Supported by:

    Supported by the National Science Foundation of China

Abstract:

This paper obtains a group of necessary and sufficient conditions which guar- antee a closed linear operator A to be the complete infinitesimal generator of an analytic semigroup of growth order α .

Key words: Semigroup of growth order α, analyticity, generator

CLC Number: 

  • 47D03
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