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The Resource Semigroup Methods for Evolution Equations on Networks, by Delio Mugnolo, (electronic resource)

Semigroup Methods for Evolution Equations on Networks, by Delio Mugnolo, (electronic resource)

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Semigroup Methods for Evolution Equations on Networks
Title
Semigroup Methods for Evolution Equations on Networks
Statement of responsibility
by Delio Mugnolo
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Language
eng
Summary
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 {u2013} i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) {u2013} 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
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Literary form
non fiction
Series statement
Understanding Complex Systems,
Semigroup Methods for Evolution Equations on Networks, by Delio Mugnolo, (electronic resource)
Label
Semigroup Methods for Evolution Equations on Networks, by Delio Mugnolo, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-3-319-04621-1
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- Operators on Networks -- Function Spaces on Networks -- Operator Semigroups -- And Now Something Completely Different: A Crash Course in Cortical Modeling -- Sequilinear Froms and Analytic Semigroups -- Evolution Equations Associated With Self-adjoint Operators -- Symmetry Properties -- Index
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319046211&userID=ebsco-test&password=ebsco-test
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3556752'}
Extent
XV, 286 p. 33 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319046211
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
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absent
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access
Specific material designation
remote

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