Can Lu, Liang-Wei Wang, Jing-Xue Yin, Mei-Ling Zhou
Abstract:
In this article, we study the complicated asymptotic behavior of doubly nonlinear
diffusion equations in unbounded spaces. We find a workspace in which is unbounded and
can exhibit complicated asymptotic behavior of the solution to the Cauchy problem.
To overcome the difficulties caused by the nonlinearity of the equations and the
unbounded solutions, we establish propagation estimates, growth estimates, and
Weighted \(L^1\)-\(L^\infty\) estimates for the solutions.
Submitted June 6, 2025. Published November 17, 2025.
Math Subject Classifications: 35B40, 35K55.
Key Words: Doubly nonlinear diffusion equation; asymptotic behavior; unbounded function;
weighted L^1-L^infty estimates.
DOI: 10.58997/ejde.2025.108
Show me the PDF file (419 KB), TEX file for this article.
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Can Lu College of Mathematics and Statistics Chongqing Three Gorges University Chongqing 404000, China email: lc002535@163.com |
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Liang-Wei Wang College of Mathematics and Statistics Chongqing Three Gorges University Chongqing 404000, China email: wanglw08@163.com |
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Jing-Xue Yin School of Mathematical Science South China Normal University Guangzhou 510631, China email: yjx@scnu.edu.cn |
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Mei-Ling Zhou College of Mathematics and Statistics Chongqing Three Gorges University Chongqing 404000, China email: zml253944@163.com |
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