A remark on perturbation of hyperbounded semigroups for vector valued functions (Q1384474)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A remark on perturbation of hyperbounded semigroups for vector valued functions |
scientific article; zbMATH DE number 1140499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on perturbation of hyperbounded semigroups for vector valued functions |
scientific article; zbMATH DE number 1140499 |
Statements
A remark on perturbation of hyperbounded semigroups for vector valued functions (English)
0 references
4 May 1999
0 references
We discuss perturbation theory for (nonsymmetric) semigroups for vector valued functions which are controlled by scalar valued hyperbounded semigroups, slightly modifying the setting in [\textit{I. Shigekawa}, J. Funct. Anal. 147, No. 1, 69-108 (1997; Zbl 0886.47024)]. We give an explicit constant of moment sufficient for the stability of operator cores in \(L^p\) sense. This constant is expressed by \(p\) and the logarithmic Sobolev constant of the dominating semigroup.
0 references
perturbation theory
0 references
scalar valued hyperbounded semigroups
0 references
constant of moment
0 references
stability of operator cores
0 references
logarithmic Sobolev constant
0 references
dominating semigroup
0 references
