Title of article
An exponential growth condition in image for the pullback attractor of a non-autonomous reaction–diffusion equation Original Research Article
Author/Authors
M. Anguiano، نويسنده , , T. Caraballo، نويسنده , , J. Real، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
4071
To page
4075
Abstract
Some exponential growth results for the pullback attractor of a reaction–diffusion equation when time goes to −∞−∞ are proved in this paper. First, a general result about View the MathML sourceLp∩H01 exponential growth is established. Then, under additional assumptions, an exponential growth condition in H2H2 for the pullback attractor of the non-autonomous reaction–diffusion equation is also deduced.
Keywords
Non-autonomous (pullback) attractors , H2H2-exponential growth , invariant sets , reaction–diffusion equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862428
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