The linearised Korteweg–deVries equation on general metric graphs

Publisher DOI:	10.1007/978-3-319-75996-8_25
Title:	The linearised Korteweg–deVries equation on general metric graphs
Language:	English
Authors:	Seifert, Christian
Keywords:	Generators of C -semigroups 0;Linearised KdV-equation;Metric graphs
Issue Date:	2018
Publisher:	Birkhäuser
Source:	in: The Diversity and Beauty of Applied Operator Theory. Operator Theory: Advances and Applications (268) : 449-458 (2018)
Abstract (english):	We consider the linearised Korteweg–deVries equation, sometimes called Airy equation, on general metric graphs with edge lengths bounded away from zero. We show that properties of the induced dynamics can be obtained by studying boundary operators in the corresponding boundary space induced by the vertices of the graph. In particular, we characterise unitary dynamics and contractive dynamics. We demonstrate our results on various special graphs, including those recently treated in the literature.
URI:	http://hdl.handle.net/11420/3457
ISSN:	0255-0156
Institute:	Mathematik E-10
Document Type:	Chapter (Book)
Part of Series:	Operator theory
Volume number:	268
Appears in Collections:	Publications without fulltext

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