Geodesic
Pullback attractor for non-autonomous \(p\)-Laplacian equations with dynamic flux boundary conditions
Electronic journal of differential equations, Tome 2014 (2014)
This article studies the long-time asymptotic behavior of solutions for the non-autonomous

$ u_t-\Delta_pu+ |u|^{p-2}u+f(u)=g(x,t) $

with dynamic flux boundary conditions

$ u_t+|\nabla u|^{p-2}\frac{\partial u}{\partial\nu}+f(u)=0 $

in a n-dimensional bounded smooth domain $\Omega$ under some suitable assumptions. We prove the existence of a pullback attractor in $\big(W^{1,p}(\Omega)\cap L^q(\Omega)\big)\times L^q(\Gamma)$ by asymptotic a priori estimate.
Classification : 35B40, 37B55
Keywords: pullback attractor, Sobolev compactness embedding, p-Laplacian, norm-to-weak continuous process, asymptotic a priori estimate, non-autonomous, nonlinear flux boundary conditions 
@article{EJDE_2014__2014__a166,
     author = {You,  Bo and Li,  Fang},
     title = {Pullback attractor for non-autonomous {\(p\)-Laplacian} equations with dynamic flux boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1288.35107},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a166/}
}
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TI  - Pullback attractor for non-autonomous \(p\)-Laplacian equations with dynamic flux boundary conditions
JO  - Electronic journal of differential equations
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VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a166/
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%A Li,  Fang
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%J Electronic journal of differential equations
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%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a166/
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%F EJDE_2014__2014__a166
You,  Bo; Li,  Fang. Pullback attractor for non-autonomous \(p\)-Laplacian equations with dynamic flux boundary conditions. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a166/