Partial inverse problems for Sturm–Liouville operators on trees. Issue 5 (15th August 2017)
- Record Type:
- Journal Article
- Title:
- Partial inverse problems for Sturm–Liouville operators on trees. Issue 5 (15th August 2017)
- Main Title:
- Partial inverse problems for Sturm–Liouville operators on trees
- Authors:
- Bondarenko, Natalia
Shieh, Chung-Tsun - Abstract:
- Abstract : In this paper, inverse spectral problems for Sturm–Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b – 1 spectral sets uniquely determine the potential functions on a tree with b external edges. Constructive solutions, based on the method of spectral mappings, are provided for the considered inverse problems.
- Is Part Of:
- Proceedings. Volume 147:Issue 5(2017)
- Journal:
- Proceedings
- Issue:
- Volume 147:Issue 5(2017)
- Issue Display:
- Volume 147, Issue 5 (2017)
- Year:
- 2017
- Volume:
- 147
- Issue:
- 5
- Issue Sort Value:
- 2017-0147-0005-0000
- Page Start:
- 917
- Page End:
- 933
- Publication Date:
- 2017-08-15
- Subjects:
- quantum graphs, -- Sturm–Liouville operators, -- inverse spectral problems, -- method of spectral mappings
Primary 34A55, -- 47E05, -- 34B45, -- 34L40
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/S0308210516000482 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 4612.xml