Existence and global behavior of weak solutions to a doubly nonlinear evolution fractional p-Laplacian equation
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,...
| Автори: | , , |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Texas State University
2021-02-01
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| Серія: | Electronic Journal of Differential Equations |
| Предмети: | |
| Онлайн доступ: | http://ejde.math.txstate.edu/Volumes/2021/09/abstr.html |
| Резюме: | 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. |
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| ISSN: | 1072-6691 |