Stieltjes Bochner spaces and applications to the study of parabolic equations
Analysis of PDEs
2020-05-15 v2
Abstract
This work is devoted to the mathematical analysis of Stieltjes Bochner spaces and their applications to the resolution of a parabolic equation with Stieltjes time derivative. This novel formulation allows us to study parabolic equations that present impulses at certain times or lapses where the system does not evolve at all and presents an elliptic behavior. We prove several theoretical results related to existence of solution, and propose a full algorithm for its computation, illustrated with some realistic numerical examples related to population dynamics.
Keywords
Cite
@article{arxiv.2001.11183,
title = {Stieltjes Bochner spaces and applications to the study of parabolic equations},
author = {Francisco J. Fernández and F. Adrián F. Tojo},
journal= {arXiv preprint arXiv:2001.11183},
year = {2020}
}
Comments
Preprint