Finite-difference operators in the study of differential operators: Solution estimates

被引：11

作者：

Baskakov, A. G. ^{[1
]}

Sintyaev, Yu. N. ^{[1
]}

机构：

[1] Voronezh State Univ, Voronezh 394693, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

SEMIGROUPS;

D O I：

10.1134/S0012266110020072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main results of the present paper are related to the use of finite-difference operators for estimating the norms of inverses of differential operators with unbounded operator coefficients. We obtain a new proof of the Gearhart-Pruss spectral mapping theorem for operator semigroups in a Hilbert space and estimate the exponential dichotomy exponents of an operator semigroup.

引用

页码：214 / 223

页数：10

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