Irregular convergence of mild solutions of semilinear equations
arXiv:1807.04815 · doi:10.1016/j.jmaa.2018.11.082
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
21 pages, no figures. Minor revision: Some typos fixed