Open AccessRegularity of Global Attractor for the Reaction-Diffusion Equation
Author(s) -
Hong Luo
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/917190
Subject(s) - algorithm , sobolev space , computer science , artificial intelligence , mathematics , mathematical analysis
By using an iteration procedure, regularity estimates forthe linear semigroups, and a classical existence theorem of global attractor, we provethat the reaction-diffusion equation possesses a global attractor in Sobolev spaceHk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-norm
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