Semigroup Methods for Evolution Equations on Networks【電子書籍】[ Delio Mugnolo ]

＜p＞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.＜/p＞ ＜p＞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 Schr?dinger 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 bee．．．楽天市場のショップで商品詳細の続きを見る