Stability of solutions to contact Hamilton-Jacobi equation on the circle
Analysis of PDEs
2024-01-29 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2401.14679,
title = {Stability of solutions to contact Hamilton-Jacobi equation on the circle},
author = {Yang Xu and Jun Yan and Kai Zhao},
journal= {arXiv preprint arXiv:2401.14679},
year = {2024}
}