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dc.contributor.authorDavidson, Fordyce A. ( )
dc.contributor.authorDodds, Niall ( )
dc.date.accessioned2021-07-20T19:21:04Z
dc.date.available2021-07-20T19:21:04Z
dc.date.issued2006-10-11
dc.identifier.citationDavidson, F. A., & Dodds, N. (2006). Spectral properties of non-local uniformly-elliptic operators. Electronic Journal of Differential Equations, 2006(126), pp. 1-15.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13999
dc.description.abstractIn this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of physical and biological systems with examples ranging from Ohmic heating to population dynamics. The operators studied here are bounded perturbations of linear (local) differential operators, and the non-local perturbation is in the form of an integral term. We study the eigenvalues, the multiplicities of these eigenvalues, and the existence of corresponding positive eigenfunctions. It is shown here that the spectral properties of these non-local operators can differ considerably from those of their local counterpart. However, we show that under suitable hypotheses, there still exists a principal eigenvalue of these operators.en_US
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectNon-localen_US
dc.subjectUniformly ellipticen_US
dc.subjectEigenvaluesen_US
dc.subjectMultiplicitiesen_US
dc.titleSpectral properties of non-local uniformly-elliptic operatorsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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