Smooth attractors for the quintic wave equations with fractional damping
نویسندگان
چکیده
Dissipative wave equations with critical quintic nonlinearity and damping term involving the fractional Laplacian are considered. The additional regularity of energy solutions is established by constructing the new Lyapunov-type functional and based on this, the global well-posedness and dissipativity of the energy solutions as well as the existence of a smooth global and exponential attractors of finite Hausdorff and fractal dimension is verified.
منابع مشابه
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 87 شماره
صفحات -
تاریخ انتشار 2014