Exponential decay and finite-time blow-up for the Klein–Gordon equation with linear strong damping, nonlinear weak damping, and logarithmic nonlinearity

Abstract This paper focuses on the initial boundary value problem for a class of Klein–Gordon equations that contains a linear strong damping term, a nonlinear weak damping term, and a nonlinear logarithmic term. Firstly, we establish the local existence and uniqueness of weak solutions by applying...

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Bibliographic Details
Main Authors: Ying Chu, Xue Li, Bo Wen
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-025-03341-3
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