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math.DS2018
Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
Kaizhi Wang, Lin Wang, Jun Yan
We consider the Hamilton-Jacobi equation \[{H}(x,u,Du)=0,\quad x\in M, \] where is a connected, closed and smooth Riemannian manifold, satisfies Tonelli conditions…
math.AP2018
Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
Piermarco Cannarsa, Wei Cheng, Kaizhi Wang +1
We develop an approach for the analysis of fundamental solutions to Hamilton-Jacobi equations of contact type based on a generalized variational principle proposed by Gustav Herglo…