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A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations

A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations
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摘要 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. 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.
作者 Guoguang Lin Min Shao Guoguang Lin;Min Shao(Department of Mathematics, Yunnan University, Kunming, China)
出处 《Open Journal of Applied Sciences》 CAS 2022年第7期1174-1183,共10页 应用科学(英文)
关键词 Inertial Manifold Hadamard’s Graph Transformation Method Lipschitz Continuous Spectral Gap Condition Inertial Manifold Hadamard’s Graph Transformation Method Lipschitz Continuous Spectral Gap Condition
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