existence and regularity of a global attractor for doubly nonlinear parabolic equations
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2002
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Abstract
In this paper we consider a doubly nonlinear parabolic partial differential equation $$ frac{partial eta (u)}{partial t}-Delta _{p}u+f(x,t,u)=0 quad hbox{in }Omega imesmathbb{R}^{+}, $$ with Dirichlet boundary condition and initial data given. We prove the existence of a global compact attractor by using a dynamical system approach. Under additional conditions on the nonlinearities $Beta$, $f$, and on $p$, we prove more regularity for the global attractor and obtain stabilization results for the solutions.
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hachimi2002electronicexistence
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| Authors | ;Abderrahmane El Hachimi;Hamid El Ouardi |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2002 |
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