existence and regularity of a global attractor for doubly nonlinear parabolic equations

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ID: 217893
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.
Reference Key
hachimi2002electronicexistence Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Abderrahmane El Hachimi;Hamid El Ouardi
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2002
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2002/45/abstr.html
Keywords
stabilization mathematics penalization p-laplacian monotone process

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