TITLE:
A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations
AUTHORS:
Guoguang Lin, Min Shao
KEYWORDS:
Inertial Manifold, Hadamard’s Graph Transformation Method, Lipschitz Continuous, Spectral Gap Condition
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.7,
July
15,
2022
ABSTRACT: In this paper, we study the inertial manifolds for a
class of asymmetrically coupled generalized Higher-order Kirchhoff equations.
Under appropriate assumptions, we firstly exist Hadamard’s graph
transformation method to structure a graph norm of a Lipschitz continuous function, then we prove the existence of a family of
inertial manifolds by showing that the spectral gap
condition is true.