Irregular convergence of mild solutions of semilinear equations
Functional Analysis
2019-08-08 v2 Analysis of PDEs
Abstract
We prove that even irregular convergence of semigroups of operators implies similar convergence of mild solutions of the related semi-linear equations with Lipschitz continuous nonlinearity. This result is then applied to three models originating from mathematical biology: shadow systems, diffusions on thin layers, and dynamics of neurotransmitters
Keywords
Cite
@article{arxiv.1807.04815,
title = {Irregular convergence of mild solutions of semilinear equations},
author = {Adam Bobrowski and Markus Kunze},
journal= {arXiv preprint arXiv:1807.04815},
year = {2019}
}
Comments
21 pages, no figures. Minor revision: Some typos fixed