Volume 2, Number 1, 2012, Pages 29-56 DOI:10.11948/2012003 |
Long time behavior of an Allen-Cahn type equation with a singular potential and dynamic boundary conditions |
Haydi Israel |
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Abstract: |
The aim of this paper is to study the well-posedness and the long time behavior of solutions for an equation of Allen-Cahn type owing to proper approximations of the singular potential and a suitable denition of solutions. We also prove the existence of the nite dimensional global attractor as well as exponential attractors. |
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