Attractors for Damped Quintic Wave Equations in Bounded Domains
نویسنده
چکیده
The dissipative wave equation with a critical quintic nonlinearity in smooth bounded three dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global attractor for the solution semigroup of this equation is established. Moreover, the smoothness of the obtained attractor is also shown.
منابع مشابه
Recent Progress in Attractors for Quintic Wave Equations
We report on new results concerning the global well-posedness, dissipativity and attractors of the damped quintic wave equations in bounded domains of R.
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