Long-term analysis of degenerate parabolic equations in ℝ N
Tóm tắt
Longtime behavior of degenerate equations with the nonlinearity of polynomial growth of arbitrary order on the whole space ℝ
N
is considered. By using ℓ-trajectories methods, we proved that weak solutions generated by degenerate equations possess an (L
2
(ℝ
N
), L
loc
2
(ℝ
N
))-global attractor. Moreover, the upper bounds of the Kolmogorov ɛ-entropy for such global attractor are also obtained.
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