Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation

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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.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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent37 pages
dc.format.medium1 file (.pdf)
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. <i>Electronic Journal of Differential Equations, 2021</i>(09), pp. 1-37.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14406
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional p-Laplace equation
dc.subjectDoubly nonlinear evolution equation
dc.subjectPicone identity
dc.subjectStabilization
dc.subjectNonlinear semi-group theory
dc.titleExistence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation
dc.typeArticle

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