The growth or decay estimates for nonlinear wave equations with damping and source terms

The spatial decay or growth behavior of a coupled nonlinear wave equation with damping and source terms is considered. By defining the wave equations in a cylinder or an exterior region, the spatial growth and decay estimates for the solutions are obtained by assuming that the boundary conditions sa...

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Bibliographic Details
Main Authors: Peng Zeng, Dandan Li, Yuanfei Li
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023623?viewType=HTML