Reduction of Infinite Dimensional Systems to Finite Dimensions: Compact Convergence Approach
نویسندگان
چکیده
We consider parameter dependent semilinear evolution problems for which, at the limit value of the parameter, the problem is finite dimensional. We introduce an abstract functional analytic framework that applies to many problems in the existing literature for which the study of the asymptotic dynamics can be reduced to finite dimensions via the invariant manifold theory. Some practical models are considered to show the wide applicability of the theory. October, 2010 ICMC-USP
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 45 شماره
صفحات -
تاریخ انتشار 2013