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arXiv · 2412.15087

Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow

Wei Cheng·Jiahui Hong·Zhi-Xiang Zhu
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Abstract

For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow $(T_t, C(M))$ is expansive. In this paper, we provide qualitative estimates for both the lower and upper bounds of the topological entropy of the semiflow.

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Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu. 2024-12-19. Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow. https://arxiv.org/abs/2412.15087

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