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

2024/12/19 by Cheng, Wei, Hong, Jiahui, Zhu, Zhi-Xiang
#35F21 #37B40 #37L05 #49L25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.15087

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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