Tianyuan Xu, Gege Liu, Jingxue Yin
Abstract:
This article concerns the existence and stability of forced waves for
p-Laplace equations with a shifting habitat given by a non-decreasing function
with a sign change.
The existence of forced waves is studied by the monotone iteration
method combined with a pair of delicate super- and sub-solutions.
Finally, we develop an approximating weighted energy method to prove
the \(L^p\) stability and exponential convergence of forced waves.
Submitted December 1, 2024. Published May 8, 2025.
Math Subject Classifications: 35K65, 35K57, 35C07, 92D25.
Key Words: Forced waves; p-Laplacian diffusion; shifting habitats; stability.
DOI: 10.58997/ejde.2025.48
Show me the PDF file (382 KB), TEX file for this article.
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Tianyuan Xu School of Mathematics and Statistics Guangdong University of Technology Guangzhou, Guangdong 510006, China email: tyxu93@163.com |
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Gege Liu School of Mathematical Sciences South China Normal University Guangzhou, Guangdong 510631, China email: liugege27@163.com |
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Jingxue Yin School of Mathematical Sciences South China Normal University Guangzhou, Guangdong 510631, China email: yjx@scnu.edu.cn |
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