LEADER 00780nam0-22002891i-450- 001 990003304740403321 005 20001010 035 $a000330474 035 $aFED01000330474 035 $a(Aleph)000330474FED01 035 $a000330474 100 $a20001010d--------km-y0itay50------ba 101 0 $aita 105 $ay-------001yy 200 1 $aDEUTSCHE WIRTSCHAFTSSPRACHE FUR AUSLANDER (2 Copie). 210 $aMunchen$cHueber$d1973. 610 0 $aEconomia 676 $a395 700 1$aBaumchen,$bFranz$0131269 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990003304740403321 952 $a395 BAU$bLINGUE 2038/a-b$fDECLI 959 $aDECLI 996 $aDEUTSCHE WIRTSCHAFTSSPRACHE FUR AUSLANDER (2 copie$9446493 997 $aUNINA DB $aING01 LEADER 04718nam 22006975 450 001 9910300386403321 005 20200703051034.0 010 $a3-319-04621-7 024 7 $a10.1007/978-3-319-04621-1 035 $a(CKB)3710000000119094 035 $a(DE-He213)978-3-319-04621-1 035 $a(SSID)ssj0001247345 035 $a(PQKBManifestationID)11713715 035 $a(PQKBTitleCode)TC0001247345 035 $a(PQKBWorkID)11193887 035 $a(PQKB)10943595 035 $a(MiAaPQ)EBC3093413 035 $a(PPN)178784443 035 $a(EXLCZ)993710000000119094 100 $a20140521d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSemigroup Methods for Evolution Equations on Networks /$fby Delio Mugnolo 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XV, 286 p. 33 illus., 1 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-04620-9 327 $aIntroduction -- 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. 330 $aThis concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations.  Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively interdisciplinary discourse on all aspects of so-called complex networks. Such network-like structures can be found in virtually all branches of science, engineering and the humanities, and future research thus calls for solid theoretical foundations.      This book is specifically devoted to the study of evolution equations ? i.e., of time-dependent differential equations such as the heat equation, the wave equation, or the Schrödinger equation (quantum graphs) ? bearing in mind that the majority of the literature in the last ten years on the subject of differential equations of graphs has been devoted to elliptic equations and related spectral problems. Moreover, for tackling the most general settings - e.g. encoded in the transmission conditions in the network nodes - one classical and elegant tool is that of operator semigroups. This book is simultaneously a very concise introduction to this theory and a handbook on its applications to differential equations on networks. With a more interdisciplinary readership in mind, full proofs of mathematical statements have been frequently omitted in favor of keeping the text as concise, fluid and self-contained as possible. In addition, a brief chapter devoted to the field of neurodynamics of the brain cortex provides a concrete link to ongoing applied research. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aPhysics 606 $aGraph theory 606 $aStatistical physics 606 $aSystem theory 606 $aComputational complexity 606 $aApplications of Graph Theory and Complex Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/P33010 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 615 0$aPhysics. 615 0$aGraph theory. 615 0$aStatistical physics. 615 0$aSystem theory. 615 0$aComputational complexity. 615 14$aApplications of Graph Theory and Complex Networks. 615 24$aGraph Theory. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aComplex Systems. 615 24$aComplexity. 676 $a621 700 $aMugnolo$b Delio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791800 906 $aBOOK 912 $a9910300386403321 996 $aSemigroup Methods for Evolution Equations on Networks$91770413 997 $aUNINA