4 citations · 5 across the 3 of their papers we have counts for
7 papers
Nonlinear semigroup approach to Hamilton-Jacobi equations -- A toy model
Liang Jin, Jun Yan, Kai Zhao
In this paper, we discuss the existence and multiplicity problem of viscosity solution to the Hamilton-Jacobi equation where is a closed ma…
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…
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 2: Nonlinear coupling
Hitoshi Ishii, Liang Jin
We study the vanishing discount problem for a nonlinear monotone system of Hamilton-Jacobi equations. This continues the first author's investigation on the vanishing discount prob…
The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling
Hitoshi Ishii
We establish a convergence theorem for the vanishing discount problem for a weakly coupled system of Hamilton-Jacobi equations. The crucial step is the introduction of Mather measu…
On class A Lorentzian 2-tori with poles II: Foliations by timelike lines
Liang Jin, Lu Peng, Xiaojun Cui
We show that if is a class A Lorentzian 2-torus with timelike poles, then there exists a Lipschitz foliation by complete future-directed timelike geodesics wit…
On class A Lorentzian 2-tori with poles I: Closed geodesics pass through poles
Lu Peng, Liang Jin, Xiaojun Cui
In this paper, by studying certain isometries on globally hyperbolic planes, we prove that if is a timelike pole on a class A Lorentzian 2-torus, then there exists a closed tim…