Book ChapterDOI
Connecting of local operators and evolution equations on networks
Günter Lumer
- pp 219-234
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The article was published on 1980-01-01. It has received 128 citations till now.read more
Citations
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Journal ArticleDOI
Graph models for waves in thin structures
TL;DR: A brief survey on graph models for wave propagation in thin structures is presented in this article, with references to works with other studies are provided, although references are limited to spectral problems.
Book
Semigroup Methods for Evolution Equations on Networks
TL;DR: In this article, a crash course in Cortical Modeling is described, with a focus on the evolution of self-adjoint operators in the context of function spaces on networks.
Journal ArticleDOI
Classical solvability of linear parabolic equations on networks
TL;DR: In this article, a resolubilite classique des problemes aux valeurs limites et initiales pour des equations paraboliques lineaires generales sur des reseaux c 8 finis.
Journal ArticleDOI
Diffusion processes on graphs: stochastic differential equations, large deviation principle
Mark Freidlin,Shuenn-Jyi Sheu +1 more
TL;DR: Ito's rule is established for the diffusion processes on the graphs in this article, and the large deviation principle is proved for these diffusion processes and their local times at the vertices as well as a family of diffusion processes with small noise on a graph.
Journal ArticleDOI
Gaussian estimates for a heat equation on a network
TL;DR: In this paper, a diffusion problem on a network on whose nodes we impose Dirichlet and generalized, non-local Kirchhoff-type conditions is considered, and the theory of sub-Markovian and ultracontractive semigroups is exploited to obtain upper Gaussian estimates for the integral kernel.
References
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Book
Graph theory with applications
TL;DR: In this paper, the authors present Graph Theory with Applications: Graph theory with applications, a collection of applications of graph theory in the field of Operational Research and Management. Journal of the Operational research Society: Vol. 28, Volume 28, issue 1, pp. 237-238.
Journal ArticleDOI
Graph theory with applications (revised edition), by J. A. Bondy and U.S.R. Murty. Pp x, 264. £5·95 paperback. 1977. SBN 0 333 22694 1 (Macmillan)
Journal ArticleDOI
Problème de Cauchy pour opérateurs locaux et «changement de temps»
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.php) are defined, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.