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Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials

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Anh C., Yen T.

Annales Polonici Mathematici

2011

tom 102

nr 2

161-186

Using the asymptotic a priori estimate method, we prove the existence of a pullback 𝓓-attractor for a reaction-diffusion equation with an inverse-square potential in a bounded domain of $ℝ^{N}$ (N ≥ 3), with the nonlinearity of polynomial type and a suitable exponential growth of the external force. Then under some additional conditions, we show that the pullback 𝓓-attractor has a finite fractal dimension and is upper semicontinuous with respect to the parameter in the potential.

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1 Annales Polonici Mathematici

1 Anh C.

1 Yen T.

1 2011

Wyniki wyszukiwania

Finite-dimensional pullback attractors for parabolic equations with Hardy type potentials