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Total positivity and oscillatory kernels: An overview, and applications to the spectral theory of the cubic string
Linköping University, Department of Mathematics, Applied Mathematics.
2010 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In the study of the Degasperis-Procesi dierential equation, an eigenvalue problem called the cubic string occurs. This is a third order generalization of the second order problem describing the eigenmodes of a vibrating string. In this thesis we study the eigenfunctions of the cubic string for discrete and continuous mass distributions, using the theory of total positivity, via a combinatorial approach with planar networks.

Place, publisher, year, edition, pages
2010. , 41 p.
Keyword [en]
cubic string, total positivity, oscillatory kernels, planar networks
National Category
URN: urn:nbn:se:liu:diva-58005ISRN: LiTH-MAT-EX--2010/18--SEOAI: diva2:359963
Physics, Chemistry, Mathematics
Available from: 2010-11-09 Created: 2010-07-15 Last updated: 2010-11-09Bibliographically approved

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ReferencesLink to record
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