Global attractor and nonhomogeneous equilibria for a nonlocal evolution equation in an unbounded domain |
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| Authors: | Antô nio L. Pereira |
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| Affiliation: | Instituto de Matemática e Estatística da Universidade de São Paulo (IME-USP), R. do Matão, 1010 CEP 05508-090, São Paulo, SP Brazil |
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| Abstract: | ![]()
In this work we consider the nonlocal evolution equation  which arises in models of phase separation. We prove the existence of a compact global attractor in some weighted spaces and the existence of a distinguished nonhomogeneous equilibrium: the ‘critical droplet.’ |
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| Keywords: | 34G20 47H15 |
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