论文标题
Stieltjes Bochner空间和抛物线方程研究的应用
Stieltjes Bochner spaces and applications to the study of parabolic equations
论文作者
论文摘要
这项工作致力于对Stieltjes Bochner空间的数学分析及其在用Stieltjes时间衍生物分辨出抛物线方程的分辨率上的应用。这种新颖的表述使我们能够研究在某些时间或系统根本不演变并提出椭圆行为的抛物线方程。我们证明了与解决方案的存在有关的几个理论结果，并为其计算提出了完整的算法，并用一些与人群动态有关的现实数值示例进行了说明。
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.
