Semigroup Methods for Evolution Equations on Networks

Nonfiction, Science & Nature, Mathematics, Graphic Methods, Science, Other Sciences, System Theory
Cover of the book Semigroup Methods for Evolution Equations on Networks by Delio Mugnolo, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Delio Mugnolo ISBN: 9783319046211
Publisher: Springer International Publishing Publication: May 21, 2014
Imprint: Springer Language: English
Author: Delio Mugnolo
ISBN: 9783319046211
Publisher: Springer International Publishing
Publication: May 21, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Non-Representational Geographies of Therapeutic Art Making by Delio Mugnolo
Cover of the book Uncertain Rule-Based Fuzzy Systems by Delio Mugnolo
Cover of the book Megacities 2050: Environmental Consequences of Urbanization by Delio Mugnolo
Cover of the book Explaining European Identity Formation by Delio Mugnolo
Cover of the book Hope for a Good Life by Delio Mugnolo
Cover of the book Women Activists and Civil Rights Leaders in Auto/Biographical Literature and Films by Delio Mugnolo
Cover of the book Graph Structures for Knowledge Representation and Reasoning by Delio Mugnolo
Cover of the book Nutrition Physiology and Metabolism in Spaceflight and Analog Studies by Delio Mugnolo
Cover of the book Intelligent Random Walk: An Approach Based on Learning Automata by Delio Mugnolo
Cover of the book Tectonic Inheritance in Continental Rifts and Passive Margins by Delio Mugnolo
Cover of the book Law, Development and Innovation by Delio Mugnolo
Cover of the book Movement in Renaissance Literature by Delio Mugnolo
Cover of the book Mapping Sustainability Transitions by Delio Mugnolo
Cover of the book Early Modern Black Diaspora Studies by Delio Mugnolo
Cover of the book Advances in Respiratory Cancerogenesis by Delio Mugnolo
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy