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Stieltjes Bochner spaces and applications to the study of parabolic equations
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jmaa.2020.124079
Francisco J. Fernández , F. Adrián F. Tojo

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.

中文翻译:

Stieltjes Bochner 空间及其在抛物线方程研究中的应用

这项工作致力于 Stieltjes Bochner 空间的数学分析及其在求解具有 Stieltjes 时间导数的抛物线方程中的应用。这种新颖的公式使我们能够研究抛物线方程,这些方程在系统根本不演化并呈现椭圆行为的特定时间或失效时呈现脉冲。我们证明了与解存在性相关的几个理论结果,并提出了一个完整的计算算法,并用一些与人口动态相关的现实数值例子来说明。
更新日期:2020-08-01
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