Work

The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups

Year: 2013

Type: preprint

Abstract: In this paper we extend the Lumer-Phillips theorem to the context of two--parameter C_0-semigroup of contractions. That is, we characterize the infinitesimal generators of two--parameter C_0-semigroups of contractions. Conditions on the behavior of the resolvent of operators, which are necessary and sufficient for the pair of operators to be the infinitesimal generator of a C_0-semigroup of contractions are given.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1310.2668

Authors: Abazari, Rasoul, Niknam, Assadollah, Hassani, Mahmoud

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1768645271

Cites: 2

Cited by: 1

Related to: 10