Positively Invariant Subset for Non-Densely Defined Cauchy Problems

2019/09/11 by Magal, Pierre, Seydi, Ousmane
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1909.05685

Abstract

In this article we prove the positive invariance of a closed subset by the semiflow generated by a semi-linear non densely Cauchy problem. The condition impose to obtain such a property is a so called sub-tangential condition. We apply our results to a class of age structured population models.

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