The abstract Cauchy problem in locally convex spaces
Functional Analysis
2022-07-26 v2
Abstract
We derive sufficient criteria for the uniqueness and existence of solutions of the abstract Cauchy problem in locally convex Hausdorff spaces. Our approach is based on a suitable notion of an asymptotic Laplace transform and extends results of Langenbruch beyond the class of Fr\'echet spaces.
Cite
@article{arxiv.2112.02677,
title = {The abstract Cauchy problem in locally convex spaces},
author = {Karsten Kruse},
journal= {arXiv preprint arXiv:2112.02677},
year = {2022}
}