科研之友
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摘要
We consider the initial-boundary value problem for a modified Swift-Hohenberg equation in space dimension n <= 7. Based on the semigroup theory, we formulate this problem as an abstract evolutionary equation with sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space H(2)(Omega) boolean AND H(0)(1)(Omega) and characterize the contents of the attractor.
- 出版日期2011-3
