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The Lumer-Phillips Theorem For Two--parameter $C_0$--semigroups
- Publication Year :
- 2013
-
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.
- Subjects :
- Mathematics - Dynamical Systems
Mathematics - Functional Analysis
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1310.2668
- Document Type :
- Working Paper