caa a22 4500 388091703 CHVBK 20180307125253.0 cr unu---uuuuu 161130e199910 xx s 000 0 eng 10.1017/S000497270003642X doi S000497270003642X pii (NATIONALLICENCE)cambridge-10.1017/S000497270003642X Reduction of dimension of approximate intertial manifolds by symmetry [Elektronische Daten] In this paper, we study approximate inertial manifolds for nonlinear evolution partial differential equations which possess symmetry. The relationship between symmetry and dimensions of approximate inertial manifolds is established. We demonstrate that symmetry can reduce the dimensions of an approximate inertial manifold. Applications for concrete evolution equations are given. Copyright © Australian Mathematical Society 1999 Rodriguez-Bernal Anibal Departmento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain Wang Bixiang Departmento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain and Department of Applied Mathematics, Tsinghua University, Beijing 100084, China Bulletin of the Australian Mathematical Society Cambridge University Press 60/2(1999-10), 319-330 0004-9727 60:2<319 1999 60 BAZ https://doi.org/10.1017/S000497270003642X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S000497270003642X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rodriguez-Bernal Anibal Departmento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain NATIONALLICENCE 700 1- Wang Bixiang Departmento de Matematica Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain and Department of Applied Mathematics, Tsinghua University, Beijing 100084, China NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 60/2(1999-10), 319-330 0004-9727 60:2<319 1999 60 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge