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Function Spaces on Networks,er we introduce some relevant spaces of functions on networks. We assume the theory of Lebesgue spaces to be known to the reader, whilst the fundamental aspects of the theory of Sobolev spaces are summarized in the Appendix B. Throughout this chapter窃喜 发表于 2025-3-22 06:17:19
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Symmetry Properties,er on or on the metric graph over it. We will use the word “symmetry” in a rather broad sense, to mean different notions of structural regularity of graphs of the Laplacian on..The common thread in our discussion is the search for reductions of an equation. By this we mean the possibility of decompo同来核对 发表于 2025-3-23 00:24:03
1860-0832 parabolic equations on networks with operator semigroup appr.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, ramif协定 发表于 2025-3-23 02:33:44
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And Now Something Completely Different: A Crash Course in Cortical Modeling,n phenomena so ubiquitous in nature? An answer is not known—or perhaps this question is ill-posed all-together. Still, we feel that we owe the reader some convincing examples of real-life emergence of diffusion-type equations as well as of differential equations in networks.