Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Hongtao Li, Shan Ma
2012 Abstract and Applied Analysis  
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain Ω ⊂ R n n 2 with a polynomial growth nonlinearity of arbitrary order. The existence of global attractors is proved in L 2 Ω , L p Ω , and H 1,a 0 Ω , respectively, when H 1,a 0 Ω can be just compactly embedded into L r Ω r < 2 but not L 2 Ω .
doi:10.1155/2012/673605 fatcat:wvxmgcp77neytnf6qzlgcegfmi