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

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 97-103.

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

张显文

Dept. of Math., Huazhong Univ. of Sci. &|Tech., Wuhan 430074, China

出版日期:2000-01-07 发布日期:2000-01-07
基金资助:
Supported by the National Science Foundation of China

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

ZHANG Xian-Wen

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

摘要/Abstract

摘要：

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.

关键词: Semigroup of growth order α, analyticity, generator

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

中图分类号:

47D03

张显文. CHARACTERISTIC CONDITIONS FOR THE COMPLETE INFINITESIMAL GENERATORS OF ANALYTIC SEMIGROUPS OF GROWTH ORDER α[J]. 数学物理学报(英文版), 2000, 20(1): 97-103.

ZHANG Xian-Wen. CHARACTERISTIC CONDITIONS FOR THE COMPLETE INFINITESIMAL GENERATORS OF ANALYTIC SEMIGROUPS OF GROWTH ORDER α[J]. Acta mathematica scientia,Series B, 2000, 20(1): 97-103.

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

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

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