Artigo
Reduction of infinite dimensional systems to finite dimensions: Compact convergence approach
Fecha
2013-07-10Registro en:
SIAM Journal on Mathematical Analysis, v. 45, n. 2, p. 600-638, 2013.
0036-1410
1095-7111
10.1137/10080734X
WOS:000318405900007
2-s2.0-84879745024
Autor
Universidade de São Paulo (USP)
Silesian University
Universidade Estadual Paulista (Unesp)
Universidade Estadual de Maringá (UEM)
Resumen
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 asymptotic dynamics can be reduced to finite dimensions via the invariant manifolds technique. Some practical models are considered to show wide applicability of the theory. © 2013 Society for Industrial and Applied Mathematics.