On the \(C_0\)-semigroups generated by second order differential operators on the real line
type: Item
instance of: scholarly article
title: On the \(C_0\)-semigroups generated by second order differential operators on the real line
zbMATH Open document ID: 1181.47044
author: Francesco Altomare
author: Sabina Milella
published in: Taiwanese Journal of Mathematics
publication date: 2009-06-23T00:00:00Z
review text: The authors consider some classes of (possibly degenerate) elliptic second order differential operators defined on the whole real line and study them in the setting of weighted spaces of continuous functions. Generalizing some results due to Altomare, Attalienti, Campiti, Mangino and Rasa, they first prove that such operators generate strongly continuous semigroups and then they represent them as limits of suitable iterats of integral-type operators. By means of such a representation, some interesting qualitative properties of the semigroups are stated.
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5568273
zbMATH Keywords: \(C_0\) semigroups
zbMATH Keywords: one dimensional case
zbMATH Keywords: second order differential operators
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405271
OpenAlex ID: W4238565791
DOI: 10.11650/TWJM/1500405271
description: scientific article; zbMATH DE number 5568273