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

• Autorzy: Cung The Anh , Ta Thi Hong Yen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35B41: Attractors
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 2
• Strony: 161-186

Daty

wydano

2011

Twórcy

autor

Cung The Anh

• Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

autor

Ta Thi Hong Yen

• Department of Mathematics, Hanoi Pedagogical University No. 2, Xuan Hoa, Phuc Yen, Vinhphuc province, Vietnam

Identyfikatory

DOI

10.4064/ap102-2-5