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math.AP2017
A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effect
Liang Jin, Lin Wang, Jun Yan
Based on a fixed point argument, we give a {\it dynamical representation} of the viscosity solution to Cauchy problem of certain weakly coupled systems of Hamilton-Jacobi equations…
math.DS2017★ 6 cited
Variational principle for contact Hamiltonian systems and its applications
Kaizhi Wang, Lin Wang, Jun Yan
In \cite{WWY}, the authors provided an implicit variational principle for the contact Hamilton's equations \begin{align*} \left\{ \begin{array}{l} \dot{x}=\frac{\partial H}{\partia…