书目名称 | Semigroup Methods for Evolution Equations on Networks | 编辑 | Delio Mugnolo | 视频video | | 概述 | Course-based and self-contained presentation.Suitable as graduate textbook or self-study guide.Combines classical results on hyperbolic and parabolic equations on networks with operator semigroup appr | 丛书名称 | Understanding Complex Systems | 图书封面 |  | 描述 | .This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations..This book is specifically devoted to the study of evolution equations – i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) – bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has beendevoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant too | 出版日期 | Book 2014 | 关键词 | Mathematical Modeling of Neuronal Networks; Operator Semi-groups and Graph Theory; Parabolic Evolution | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-04621-1 | isbn_softcover | 978-3-319-37474-1 | isbn_ebook | 978-3-319-04621-1Series ISSN 1860-0832 Series E-ISSN 1860-0840 | issn_series | 1860-0832 | copyright | Springer International Publishing Switzerland 2014 |
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