度量图上动力过程的半群。
Semigroups for dynamical processes on metric graphs.
机构信息
Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, Slovenia.
Institute of Mathematics, Physics, and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia.
出版信息
Philos Trans A Math Phys Eng Sci. 2020 Nov 27;378(2185):20190619. doi: 10.1098/rsta.2019.0619. Epub 2020 Oct 19.
We present the operator semigroups approach to the first- and second-order dynamical systems taking place on metric graphs. We briefly survey the existing results and focus on the well-posedness of the problems with standard vertex conditions. Finally, we show two applications to biological models. This article is part of the theme issue 'Semigroup applications everywhere'.
我们提出了算子半群方法，用于研究发生在度量图上的一阶和二阶动力系统。我们简要地回顾了现有的结果，并集中讨论了具有标准顶点条件的问题的适定性。最后，我们展示了两个应用于生物模型的例子。本文是主题为“到处都是半群应用”的一部分。
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