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Vietnam
Journal of Mathematics 37:1 (2009) 49-66
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Global Attractor for a Semilinear Parabolic System
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Cung The Anh and
Trinh Tuan Phong
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Abstract. The aim of this paper is to prove
the existence of a global attractor of the semigroup generated by the first
initial boundary value problem for a semilinear parabolic system in the
potential form in an arbitrary (bounded or unbounded) domain.
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2000 Mathematics Subject Classification: 35B40, 35B41,
35K60.
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Keywords: Semilinear parabolic system, global
solution, global attractor, Lyapunov functional.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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