The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups
Dynamical Systems
2013-10-11 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1310.2668,
title = {The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups},
author = {Rasoul Abazari and Assadollah Niknam and Mahmoud Hassani},
journal= {arXiv preprint arXiv:1310.2668},
year = {2013}
}