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

Published in:	Advanced Nonlinear Studies
Main Authors:	Chen Shaohua, Han Jiangbo, Xu Runzhang, Yang Chao, Zhang Meina
Format:	Article
Language:	English
Published:	De Gruyter 2025-03-01
Subjects:	kirchhoff-type wave equation fractional laplacian global existence finite time blowup asymptotic behavior blowup time 35r11 35l05 35a01 35b40 35b44
Online Access:	https://doi.org/10.1515/ans-2023-0172