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arXiv · 2110.11547

p-Laplacian wave equations in non-cylindrical domains

Lingyang Liu·Hang Gao
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Abstract

This paper is devoted to studying the stability of p-Laplacian wave equations with strong damping in non-cylindrical domains. The method of proof based on some estimates for time-varying coefficients rising from moving boundary and a modified Kormonik inequality. Meanwhile, by selecting appropriate auxiliary functions, finally we obtain the polynomial stability (p > 2) and exponential stability (p = 2) for such systems in some unbounded development domains.

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Lingyang Liu, Hang Gao. 2021-10-22. p-Laplacian wave equations in non-cylindrical domains. https://arxiv.org/abs/2110.11547

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