Title of article
Pullback attractors for a semilinear heat equation in a non-cylindrical domain
Author/Authors
P.E. Kloeden، نويسنده , , P. Mar?n-Rubio، نويسنده , , J. Real، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
29
From page
2062
To page
2090
Abstract
The existence and uniqueness of a variational solution satisfying energy equality is proved for a semilinear heat equation in a non-cylindrical domain with homogeneous Dirichlet boundary condition, under the assumption that the spatial domains are bounded and increase with time. In addition, the non-autonomous dynamical system generated by this class of solutions is shown to have a global pullback attractor.
Keywords
Semilinear heat equations , Non-cylindrical domains , Non-autonomous dynamical system , Pullback attractor
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2008
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
751375
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