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- W1479741150 abstract "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." @default.
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- W1479741150 date "2014-01-01" @default.
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- W1479741150 title "Smooth attractors for the quintic wave equations with fractional damping" @default.
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- W1479741150 doi "https://doi.org/10.3233/asy-131208" @default.
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