Large time behavior and Lyapunov functionals for a nonlocal differential equation |
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| Authors: | Danielle Hilhorst Philippe Laurençot Thanh-Nam Nguyen |
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| Institution: | 1.CNRS, Laboratoire de Mathématique d’Orsay, Analyse Numérique et EDP,Université de Paris-Sud, Université Paris-Saclay,Orsay Cedex,France;2.Institut de Mathématiques de Toulouse, UMR 5219,Université de Toulouse, CNRS,Toulouse Cedex 9,France;3.National Institute for Mathematical Sciences,Daejeon,Korea |
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| Abstract: | A new approach is used to describe the large time behavior of the nonlocal differential equation initially studied in T.-N. Nguyen (On the \({\omega}\)-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016). Our approach is based upon the existence of infinitely many Lyapunov functionals and allows us to extend the analysis performed in T.-N. Nguyen (On the \({\omega}\)-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016). |
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