Semigroups and linear partial differential equations with delay
Functional Analysis
2012-12-03 v1 Dynamical Systems
Abstract
We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the solutions. Applications to a reaction-diffusion equation with delay are given.
Cite
@article{arxiv.1211.7197,
title = {Semigroups and linear partial differential equations with delay},
author = {András Bátkai and Susanna Piazzera},
journal= {arXiv preprint arXiv:1211.7197},
year = {2012}
}
Comments
Journal of Mathematical Analysis and Applications Vol. 264, 2001, pp. 1-20