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Regularity of Keldys-Fichera Boundary Value Problemfor Degenerate Elliptic Equations
Authors:Limei LI and Tian MA
Affiliation:[1]Dipartimento di Matematica, University di Pavia, Via Ferrata, 1 1-27100 Pavia, Italy. [2]Laboratoire de Mathematiques et Applications, Universite de Poitiers, Boulevard Marie et Pierre Curie-Teleport 2, 86962 Chasseneuil Futuroscope Cedex, France. [3]Dipartimento di Matematica, Universite di Pavia, Via Ferrata, 1 1-27100 Pavia, Italy.
Abstract:The Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions is considered. The existence of the global attractor is proved and the long time behavior of the trajectories, namely, the convergence to steady states, is studied.
Keywords:Cahn-Hilliard equation  Dynamic boundary conditions  Irregular potentials  Global attractor  Convergence to steady states
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