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

Cung 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 -