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dc.contributor.authorGiacomoni, Jacques ( )
dc.contributor.authorGouasmia, Abdelhamid ( )
dc.contributor.authorMokrane, Abdelhafid ( )
dc.date.accessioned2021-08-19T20:49:49Z
dc.date.available2021-08-19T20:49:49Z
dc.date.issued2021-02-23
dc.identifier.citationGiacomoni, J., Gouasmia, A., & Mokrane, A. (2021). Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation. Electronic Journal of Differential Equations, 2021(09), pp. 1-37.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14406
dc.description.abstractIn this article, we study a class of doubly nonlinear parabolic problems involving the fractional p-Laplace operator. For this problem, we discuss existence, uniqueness and regularity of the weak solutions by using the time-discretization method and monotone arguments. For global weak solutions, we also prove stabilization results by using the accretivity of a suitable associated operator. This property is strongly linked to the Picone identity that provides further a weak comparison principle, barrier estimates and uniqueness of the stationary positive weak solution.en_US
dc.formatText
dc.format.extent37 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional p-Laplace equationen_US
dc.subjectDoubly nonlinear evolution equationen_US
dc.subjectPicone identityen_US
dc.subjectStabilizationen_US
dc.subjectNonlinear semi-group theoryen_US
dc.titleExistence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equationen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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