Title : ( The Lumer-Phillips Theorem For Two – parameter C0 – semigroups )
Authors: Rasoul Abazari , Asadollah Niknam , Mahmoud Hassani ,
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Abstract
In this paper we extend the Lumer-Phillips theorem to the context of two–parameter C0–semigroup of contractions. That is, we characterize the infinitesimal generators of two–parameter C0–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 C0– semigroup of contractions are given.
Keywords
, Lumer-Phillips Theorem, Two–parameterC0–semigroup, Dissipative operator.
@article{paperid:1050451,
author = {Rasoul Abazari and Niknam, Asadollah and Mahmoud Hassani},
title = {The Lumer-Phillips Theorem For Two – parameter C0 – semigroups},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2015},
month = {January},
issn = {1735-8515},
keywords = {Lumer-Phillips Theorem;Two–parameterC0–semigroup;
Dissipative operator.},
}
%0 Journal Article
%T The Lumer-Phillips Theorem For Two – parameter C0 – semigroups
%A Rasoul Abazari
%A Niknam, Asadollah
%A Mahmoud Hassani
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2015
