Open AccessLONG TIME BEHAVIOR OF AN ALLEN-CAHN TYPE EQUATION WITH A SINGULAR POTENTIAL AND DYNAMIC BOUNDARY CONDITIONS
Author(s) -
Haydi Israel
Publication year - 2012
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2012003
Subject(s) - attractor , mathematics , allen–cahn equation , type (biology) , mathematical analysis , boundary (topology) , exponential type , exponential function , singular solution , biology , ecology
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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