4 citations · 4 across the 7 of their papers we have counts for
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Local strict singular characteristics: Cauchy problem with smooth initial data
Wei Cheng, Jiahui Hong
Main purpose of this paper is to study the local propagation of singularities of viscosity solution to contact type evolutionary Hamilton-Jacobi equation $$ D_tu(t,x)+H(t,x,D_xu(t,…
Singularities of solutions of Hamilton-Jacobi equations
Piermarco Cannarsa, Wei Cheng
This is a survey paper on the quantitative analysis of the propagation of singularities for the viscosity solutions to Hamilton-Jacobi equations in the past decades. We also review…
Singularities of solutions of time dependent Hamilton-Jacobi equations. Applications to Riemannian geometry
Piermarco Cannarsa, Wei Cheng, Albert Fathi
If is a uniformly continuous viscosity solution of the evolution Hamilton-Jacobi equation where is a not necessaril…
Representation formulas for contact type Hamilton-Jacobi equations
Jiahui Hong, Wei Cheng, Shengqing Hu +1
We discuss various kinds of representation formulas for the viscosity solutions of the contact type Hamilton-Jacobi equations by using the Herglotz' variational principle.
Herglotz' variational principle and Lax-Oleinik evolution
Piermarco Cannarsa, Wei Cheng, Liang Jin +2
We develop an elementary method to give a Lipschitz estimate for the minimizers in the problem of Herglotz' variational principle proposed in \cite{CCWY2018} in the time-dependent…
Vanishing contact structure problem and convergence of the viscosity solutions
Qinbo Chen, Wei Cheng, Hitoshi Ishii +1
This paper is devoted to study the vanishing contact structure problem which is a generalization of the vanishing discount problem. Let be a family of Hamiltonians of…