Article ID Journal Published Year Pages File Type
838143 Nonlinear Analysis: Real World Applications 2010 9 Pages PDF
Abstract

In this paper, we study the long-time behavior of the non-autonomous reaction-diffusion equation with nonlinear boundary condition and competing nonlinearities. Under the balance conditions between internal and boundary nonlinear terms, which have been proved in Rodríguez-Bernal and Tajdine (2001) [21] to prevent solution from blow-up, we prove the existence of a compact uniform attractor in Lp+1(Ω)Lp+1(Ω) where p>1p>1 is the growing exponent of internal nonlinearity.

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Physical Sciences and Engineering Engineering Engineering (General)
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