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On a nonlocal degenerate parabolic problem
Affiliation:1. CMAF-CIO, University of Lisbon, Portugal;2. Department of Mathematics, Faculty of Science, University of Beira Interior, Portugal;1. Université Paris Saclay, Centre National de la Recherche Scientifique (CNRS), Laboratoire Atmosphères, Milieux, Observations Spatiales (LATMOS), 11 Boulevard d’Alembert, 78280 Guyancourt, France;2. Stanford University, W.W. Hansen Experimental Physics Laboratory, Stanford, CA 94305-4085, USA;1. Department of Mathematics, University College London, United Kingdom;1. Computational Science and Technology, SE-10044 Stockholm, Sweden;2. RICAM Linz, Johann Radon Institute, AT-4040 Linz, Austria
Abstract:Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied. In particular, the finite time extinction and polynomial decay properties are proved.
Keywords:Nonlocal  Degenerate  Parabolic  PDE
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