# Inertial manifolds for retarded second order in time evolution equations in admissible spaces

Annales Polonici Mathematici (2013)

- Volume: 108, Issue: 1, page 21-42
- ISSN: 0066-2216

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topCung The Anh, and Le Van Hieu. "Inertial manifolds for retarded second order in time evolution equations in admissible spaces." Annales Polonici Mathematici 108.1 (2013): 21-42. <http://eudml.org/doc/280482>.

@article{CungTheAnh2013,

abstract = {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.},

author = {Cung The Anh, Le Van Hieu},

journal = {Annales Polonici Mathematici},

keywords = {spectral gap condition; semilinear hyperbolic equations; finite delay; admissible function spaces; Lyapunov-Perron method},

language = {eng},

number = {1},

pages = {21-42},

title = {Inertial manifolds for retarded second order in time evolution equations in admissible spaces},

url = {http://eudml.org/doc/280482},

volume = {108},

year = {2013},

}

TY - JOUR

AU - Cung The Anh

AU - Le Van Hieu

TI - Inertial manifolds for retarded second order in time evolution equations in admissible spaces

JO - Annales Polonici Mathematici

PY - 2013

VL - 108

IS - 1

SP - 21

EP - 42

AB - 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.

LA - eng

KW - spectral gap condition; semilinear hyperbolic equations; finite delay; admissible function spaces; Lyapunov-Perron method

UR - http://eudml.org/doc/280482

ER -

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