Work

Qualitative estimates of topological entropy for non-monotone contact Lax-Oleinik semiflow

Year: 2025

Type: article

Abstract: For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow ( T t , C ( M ) ) (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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17403

Authors: Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu

Institutions: Nanjing University, Nanjing University of Aeronautics and Astronautics

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Nanjing University of Aeronautics and Astronautics

Awards: G1948365535, G2579763187, G4254543808, G4712210066