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Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition

✍ Scribed by Lu Yang; Mei-Hua Yang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
328 KB
Volume
11
Category
Article
ISSN
1468-1218

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✦ Synopsis

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 L p+1 (Ω) where p > 1 is the growing exponent of internal nonlinearity.

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