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arxiv: 2401.14679 · v1 · pith:EHG43FZCnew · submitted 2024-01-26 · 🧮 math.AP · math.DS

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

classification 🧮 math.AP math.DS
keywords solutionscontacthamilton-jacobiequationpartstabilityviscositycircle
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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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