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arXiv · 2401.14679

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

Yang Xu·Jun Yan·Kai Zhao
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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.

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Yang Xu, Jun Yan, Kai Zhao. 2024-01-26. Stability of solutions to contact Hamilton-Jacobi equation on the circle. https://arxiv.org/abs/2401.14679

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