Pullback attractors for nonautonomous parabolic equations involving weighted p-Laplacian operators

• Autorzy: Cung The Anh , Tang Quoc Bao
• Języki publikacji: EN

Abstrakty

EN

Using the asymptotic a priori estimate method, we prove the existence of pullback attractors for nonautonomous quasilinear degenerate parabolic equations involving weighted p-Laplacian operators in bounded domains, without restriction on the growth order of the polynomial type nonlinearity and on the exponential growth of the external force. The results obtained improve some recent ones for nonautonomous reaction-diffusion equations. Moreover, a relationship between pullback attractors and uniform attractors is given.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 1
• Strony: 1-19

Daty

wydano

2011

Twórcy

autor

Cung The Anh

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

autor

Tang Quoc Bao

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

Identyfikatory

DOI

10.4064/ap101-1-1