SOME INEQUALITIES FOR SUBMARKOVIAN GENERATORS AND THEIR APPLICATIONS TO THE PERTURBATION-THEORY

被引：17

作者：

LISKEVICH, VA ^{[1
]}

SEMENOV, YA ^{[1
]}

机构：

[1] KIEV POLYTECH INST, DEPT MATH, KIEV 252056, UKRAINE

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 04期

关键词：

SUBMARKOVIAN SEMIGROUPS; FORM-BOUNDED PERTURBATIONS;

D O I：

10.2307/2159980

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the domain in L(p)-space of generators of submarkovian semigroups in terms of the form domain in L2 and give the corresponding inequality. Using this inequality we obtain a criterion for the formal difference A - B of such generators to be a generator of a contraction semigroup in L(p). The conditions on perturbation are expressed in terms of forms, i.e., in L2-terms.

引用

页码：1171 / 1177

页数：7