Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840630 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 13 Pages |
Abstract
This note deals with the strongly damped nonlinear wave equation utt−Δut−Δu+f(ut)+g(u)=hutt−Δut−Δu+f(ut)+g(u)=h with Dirichlet boundary conditions, where both the nonlinearities ff and gg exhibit a critical growth, while hh is a time-independent forcing term. The existence of an exponential attractor of optimal regularity is proven. As a corollary, a regular global attractor of finite fractal dimension is obtained.
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Authors
Filippo Dell’Oro, Vittorino Pata,