Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian

In the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian. First, the existence and uniqueness of the local solution are established by the Banach fixed point theorem. Then, the global...

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Bibliographic Details
Main Authors: Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina
Format: Article
Language:English
Published: De Gruyter 2025-03-01
Series:Advanced Nonlinear Studies
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Online Access:https://doi.org/10.1515/ans-2023-0172
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