Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space
Functional Analysis
2007-12-17 v1
Abstract
The main purpose is to generalize a theorem of Arendt about uniqueness of -semigroups from Banach space setting to the general locally convex vector spaces, more precisely, we show that cores are the only domains of uniqueness for -semigroups on locally convex spaces. As an application, we find a necessary and sufficient condition for that the mass transport equation has one unique weak solution.
Keywords
Cite
@article{arxiv.0712.2406,
title = {Uniqueness of a pre-generator for $C_0$-semigroup on a general locally convex vector space},
author = {Ludovic Dan Lemle and Liming Wu},
journal= {arXiv preprint arXiv:0712.2406},
year = {2007}
}