Existence and upper semicontinuity of uniform attractors in H¹(ℝN) for nonautonomous nonclassical diffusion equations
Cung The Anh ; Nguyen Duong Toan
Annales Polonici Mathematici, Tome 111 (2014), p. 271-295 / Harvested from The Polish Digital Mathematics Library
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We prove the existence of uniform attractors ε in the space H¹(ℝN) for the nonautonomous nonclassical diffusion equation ut-εΔut-Δu+f(x,u)+λu=g(x,t), ε ∈ [0,1]. The upper semicontinuity of the uniform attractors εε∈[0,1] at ε = 0 is also studied.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280254 
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     title = {Existence and upper semicontinuity of uniform attractors in $H$^1$($\mathbb{R}$^N)$ for nonautonomous nonclassical diffusion equations},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {271-295},
     zbl = {1320.35085},
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Cung The Anh; Nguyen Duong Toan. Existence and upper semicontinuity of uniform attractors in $H¹(ℝ^N)$ for nonautonomous nonclassical diffusion equations. Annales Polonici Mathematici, Tome 111 (2014) pp. 271-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-3-5/