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Journal article
ON THE SPECTRUM OF THE SUPERPOSITION OF SEPARATED POTENTIALS
Discrete and continuous dynamical systems. Series B, v 18(1), pp 273-281
01 Jan 2013
Abstract
Sppose that V(x) is an exponentially localized potential and L is a constant coefficient differential operator. A method for computing the spectrum of L+V(x-x(1))+ ... +V(x-x(N)) given that one knows the spectrum of L+V(x) is described. The method is functional theoretic in nature and does not rely heavily on any special structure of L or V apart from the exponential localization. The result is aimed at applications involving the existence and stability of multi-pulses in partial differential equations.
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Details
- Title
- ON THE SPECTRUM OF THE SUPERPOSITION OF SEPARATED POTENTIALS
- Creators
- J. Douglas WrightDrexel University, Department of Mathematics, 3141 Chestnut Ave, Philadelphia, PA 19104
- Publication Details
- Discrete and continuous dynamical systems. Series B, v 18(1), pp 273-281
- Publisher
- Amer Inst Mathematical Sciences-Aims
- Number of pages
- 9
- Grant note
- DMS 0807738; DMS 0908299; DMS 1105635 / NSF; National Science Foundation (NSF) 1105635 / Direct For Mathematical & Physical Scien; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000310573900015
- Scopus ID
- 2-s2.0-84868541123
- Other Identifier
- 991019174750104721
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- Web of Science research areas
- Mathematics, Applied