Stieltjes Bochner spaces and applications to the study of parabolic equations

Autor:	Fernández, Francisco J., Tojo, F. Adrián F.
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs 28B05 46G10 35D30 35K65 65N06
Zdroj:	J. Math. Anal. Appl. 488 (2020) 124079
Druh dokumentu:	Working Paper
Popis:	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. Comment: Preprint
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.11183 Zobrazit plný text záznamu View this record from Arxiv