Reaction-diffusion coupled inclusions with variable exponents and large diffusion
Keyword(s):
This work concerns the study of asymptotic behavior of coupled systems of \(p(x)\)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions with respect to initial conditions and a triple of parameters and we prove upper semicontinuity of a family of global attractors for reaction-diffusion systems with spatially variable exponents when the exponents go to constants greater than 2 in the topology of \(L^{\infty}(\Omega)\) and the diffusion coefficients go to infinity.
2008 ◽
Vol 18
(03)
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pp. 695-716
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2005 ◽
Vol 2005
(3)
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pp. 273-288
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1998 ◽
Vol 147
(1)
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pp. 1-29
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2015 ◽
Vol 61
(1)
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pp. 59-78
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2009 ◽
Vol 2
(1)
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pp. 55-66
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2011 ◽
Vol 10
(5)
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pp. 1463-1478
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Keyword(s):
1995 ◽
Vol 125
(6)
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pp. 1305-1329
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2017 ◽
Vol 22
(5)
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pp. 1899-1908
Keyword(s):