Stability of solutions to contact Hamilton-Jacobi equation on the circle

Yang Xu, Jun Yan, Kai Zhao

Type: Preprint

Publication Date: 2024-01-26

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2401.14679

Abstract

Combing the weak KAM method for contact Hamiltonian systems and the theory of viscosity solutions for Hamilton-Jacobi equations, we study the Lyapunov stability and instability of viscosity solutions for evolutionary contact Hamilton-Jacobi equation in the first part. In the second part, we study the existence and multiplicity of time-periodic solutions.

Locations

arXiv (Cornell University) - View - PDF

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