9 citations · 11 across the 5 of their papers we have counts for
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Quantitative homogenization of Monge-Ampère equations in periodic media
Tianling Jin, YanYan Li, Hung V. Tran +1
Let and be the convex solutions of \[ \det D^2u^\varepsilon=F(x,x/\varepsilon),\qquad \det D^2u=\overline F(x) \] on a bounded convex domain , with the same…
A Liouville theorem for convex functions with periodic Monge-Ampère measure
Tianling Jin, YanYan Li, Hung V. Tran +1
We study global convex solutions of the Monge-Ampère equation \[ \det D^2 u = μ\quad \text{in } \mathbb{R}^n, \] where is a nonnegative locally finite periodic Bore…
Representation formulas and large time behavior for solutions to some nonconvex Hamilton-Jacobi equations
Hung Vinh Tran
We give a new representation formula for solutions to nonconvex first-order Hamilton--Jacobi equations in the periodic setting and present some applications. We then prove the larg…
Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations
Jianliang Qian, Timo Sprekeler, Hung V. Tran +1
We study the optimal rate of convergence in periodic homogenization of the viscous Hamilton-Jacobi equation $u^\varepsilon_t + H(\frac{x}{\varepsilon},Du^\varepsilon) = \varepsilon…
Stochastic homogenization of interfaces moving with changing sign velocity
A. Ciomaga, P. E. Souganidis, H. V. Tran
We are interested in the averaged behavior of interfaces moving in stationary ergodic environments, with oscillatory normal velocity which changes sign. This problem can be reformu…