SMOOTH DISTRIBUTION GROUP AND SCHRODINGER EQUATION IN LP(RN)

被引：27

作者：

BALABANE, M ^{[1
]}

EMAMIRAD, HA ^{[1
]}

机构：

[1] ATOM ENERGY ORG IRAN,NUCL RES CTR,TEHRAN,IRAN

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1979年 / 70卷 / 01期

关键词：

D O I：

10.1016/0022-247X(79)90075-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In College de France, Seminaire E.D.P. II, Nov. 1963-May 1964, Peetre has introduced the smooth distribution semi-group which is discussed here. This notion is redefined by introducing a functional space T, which measures the regularity of such a distribution. This allows us to give a spectral characterization of such groups. We show that the iterated resolvent of the infinitesimal generator of a smooth distribution group satisfies the relation {norm of matrix}(λ-A)-q{norm of matrix}L(X)≤cqk|λ|k|, Re λ ≠ 0. The application of this notion is illustrated by the study of the Schrödinger equation in Lp(Rn). © 1979.

引用

页码：61 / 71

页数：11

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