Semigroup Methods For Evolution Equations On Networks

Thảo luận trong 'Kinh nghiệm kinh doanh' bởi happel8f5, 16/11/2023.

  1. happel8f5

    happel8f5 Thành viên sắp chính thức

    Tham gia:
    3/11/2023
    Bài viết:
    94
    Đã được thích:
    0
    Điểm thành tích:
    6
    Semigroup Methods for Evolution Equations on Networks
    By: Delio Mugnolo
    Publisher:
    Springer
    Print ISBN: 9783319046204, 3319046209
    eText ISBN: 9783319046211, 3319046217
    Copyright year: 2014
    Format: EPUB
    Available from $ 54.99 USD
    SKU: 9783319046211 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 been devoted 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 tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research. SKU: 9783319046204
    Download now: https://ebookscoffee.sellpass.io/products/Semigroup-Methods-for-Evolution-Equations-on-Networks
     

    Xem thêm các chủ đề tạo bởi happel8f5
    Đang tải...


Chia sẻ trang này