Semigroup Methods for Evolution Equations on Networks - Couverture souple

Mugnolo, Delio

9783319374741: Semigroup Methods for Evolution Equations on Networks

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ISBN 10 : 3319374745 ISBN 13 : 9783319374741

Editeur : Springer, 2016

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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 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 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 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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer
Date d'�dition2016
ISBN 10 3319374745
ISBN 13 9783319374741
ReliureBroch�
Langueanglais
Nombre de pages304
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9783319046204: Semigroup Methods for Evolution Equations on Networks

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Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo

Edit� par Springer International Publishing, 2016

ISBN 10 : 3319374745 ISBN 13 : 9783319374741

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Course-based and self-contained presentationSuitable as graduate textbook or self-study guideCombines classical results on hyperbolic and parabolic equations on networks with operator semigroup approachesThis concise text i. N� de r�f. du vendeur 385704233

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Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo

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ISBN 10 : 3319374745 ISBN 13 : 9783319374741

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 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 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 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. N� de r�f. du vendeur 9783319374741

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Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo

Edit� par Springer International Publishing Aug 2016, 2016

ISBN 10 : 3319374745 ISBN 13 : 9783319374741

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 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 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. 304 pp. Englisch. N� de r�f. du vendeur 9783319374741

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Semigroup Methods for Evolution Equations on Networks (Understanding Complex Systems)

Mugnolo, Delio

Edit� par Springer, 2016

ISBN 10 : 3319374745 ISBN 13 : 9783319374741

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Semigroup Methods for Evolution Equations on Networks

Delio Mugnolo

Edit� par Springer International Publishing, Springer Nature Switzerland Aug 2016, 2016

ISBN 10 : 3319374745 ISBN 13 : 9783319374741

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -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 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 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 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch. N� de r�f. du vendeur 9783319374741

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