Inertial manifolds for retarded second order in time
evolution equations in admissible spaces
Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 21-42
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Using the Lyapunov–Perron method, we prove the existence of an inertial manifold for the process associated to a class of non-autonomous semilinear hyperbolic equations with finite delay, where the linear principal part is positive definite with a discrete spectrum having a sufficiently large distance between some two successive spectral points, and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to some admissible function spaces.
Keywords:
using lyapunov perron method prove existence inertial manifold process associated class non autonomous semilinear hyperbolic equations finite delay where linear principal part positive definite discrete spectrum having sufficiently large distance between successive spectral points lipschitz coefficient nonlinear term may depend time belongs admissible function spaces
Affiliations des auteurs :
Cung The Anh 1 ; Le Van Hieu 2
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author = {Cung The Anh and Le Van Hieu},
title = {Inertial manifolds for retarded second order in time
evolution equations in admissible spaces},
journal = {Annales Polonici Mathematici},
pages = {21--42},
publisher = {mathdoc},
volume = {108},
number = {1},
year = {2013},
doi = {10.4064/ap108-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap108-1-3/}
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Cung The Anh; Le Van Hieu. Inertial manifolds for retarded second order in time evolution equations in admissible spaces. Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 21-42. doi: 10.4064/ap108-1-3
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