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Inertial manifolds and normal hyperbolicity |
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| Authors: | Ricardo Rosa Roger Temam |
| Institution: | (1) Departamento de Matemática Aplicada, IM-UFRJ Caixa, Postal 68530, CEP 21945 Rio de Janeiro, RJ, Brazil;(2) The Institute for Applied Mathematics and Scientific Computing, Indiana University, 47405 Bloomington, IN, U.S.A.;(3) Laboratoire d'Analyse Numérique, Université Paris-Sud, Bâtiment 425, 91405 Orsay, France;(4) The Institute for Applied Mathematics and Scientific Computing, Indiana University, 47405 Bloomington, IN, U.S.A. |
| Abstract: | Our aim in this article is to derive an existence theorem of inertial manifolds for fairly general equations with a self-adjoint or nonself-adjoint linear operator in a Banach space setting. A sharp form of the spectral gap condition is given. Many other properties are proven including an interesting characterization of the inertial manifold and the normal hyperbolicity of the inertial manifold. |
| Keywords: | 35B40 35K22 35K55 |
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