Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation
dc.contributor.author | Giacomoni, Jacques | |
dc.contributor.author | Gouasmia, Abdelhamid | |
dc.contributor.author | Mokrane, Abdelhafid | |
dc.date.accessioned | 2021-08-19T20:49:49Z | |
dc.date.available | 2021-08-19T20:49:49Z | |
dc.date.issued | 2021-02-23 | |
dc.description.abstract | In 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 37 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Giacomoni, 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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14406 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Fractional p-Laplace equation | |
dc.subject | Doubly nonlinear evolution equation | |
dc.subject | Picone identity | |
dc.subject | Stabilization | |
dc.subject | Nonlinear semi-group theory | |
dc.title | Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation | |
dc.type | Article |