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dc.contributor.authorCoville, Jerome ( )
dc.date.accessioned2021-08-06T19:38:37Z
dc.date.available2021-08-06T19:38:37Z
dc.date.issued2007-05-10
dc.identifier.citationCoville, J. (2007). Maximum principles, sliding techniques and applications to nonlocal equations. Electronic Journal of Differential Equations, 2007(68), pp. 1-23.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14230
dc.description.abstractThis paper is devoted to the study of maximum principles holding for some nonlocal diffusion operators defined in (half-) bounded domains and its applications to obtain qualitative behaviors of solutions of some nonlinear problems. It is shown that, as in the classical case, the nonlocal diffusion considered satisfies a weak and a strong maximum principle. Uniqueness and monotonicity of solutions of nonlinear equations are therefore expected as in the classical case. It is first presented a simple proof of this qualitative behavior and the weak/strong maximum principle. An optimal condition to have a strong maximum for operator M[u] := J ⋆ u - u is also obtained. The proofs of the uniqueness and monotonicity essentially rely on the sliding method and the strong maximum principle.en_US
dc.formatText
dc.format.extent23 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectNonlocal diffusion operatorsen_US
dc.subjectMaximum principlesen_US
dc.subjectSliding methodsen_US
dc.titleMaximum principles, sliding techniques and applications to nonlocal equationsen_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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