4 citations · 7 across the 8 of their papers we have counts for
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Generalized Hamiltonian gradient flow of contact type I: regularity of the fundamental solutions
Wei Cheng, Shengqing Hu, Kaizhi Wang
This paper studies generalized Hamiltonian gradient flows for contact-type Hamilton--Jacobi equations, adopting the variational framework of Herglotz's principle and its fundamenta…
Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity
Yuqi Ruan, Kaizhi Wang, Jun Yan
We consider the evolutionary Hamilton-Jacobi equation \begin{align*} w_t(x,t)+H(x,Dw(x,t),w(x,t))=0, \quad(x,t)\in M\times [0,+\infty), \end{align*} where is a compact manifold…
Variational construction of singular characteristics and propagation of singularities
Piermarco Cannarsa, Wei Cheng, Jiahui Hong +1
On a smooth closed manifold , we introduce a novel theory of maximal slope curves for any pair with a semiconcave function and a Hamiltonian. By using the notion…
Time periodic and almost periodic viscosity solutions of contact Hamilton-Jacobi equations on
Kaizhi Wang, Jun Yan, Kai Zhao
This paper concerns with the time periodic viscosity solution problem for a class of evolutionary contact Hamilton-Jacobi equations with time independent Hamiltonians on the torus…
Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown
Hitoshi Ishii, Kaizhi Wang, Lin Wang +1
We study the Hamilton-Jacobi equations in and in , where the Hamiltonian depends Lipschitz…
Finite-time convergence of solutions of Hamilton-Jacobi equations
Kaizhi Wang, Jun Yan, Kai Zhao
Suppose that is strictly decreasing in and satisfies Tonelli conditions in . We show that each viscosity solution of can be reached by many viscosi…