arXiv:1512.06375v2 [math.AP] 7 Sep 2016 Page 1 arXiv:1512.06375v2 [math.AP] 7 Sep 2016
Stochastic homogenization of nonconvex Hamilton-Jacobi equations: a counterexample Bruno …

We continue the study of the homogenization of coercive non-convex Hamilton–Jacobi
equations in random media identifying two general classes of Hamiltonians with very distinct …

We derive optimal-order homogenization rates for random nonlinear elliptic PDEs with
monotone nonlinearity in the uniformly elliptic case. More precisely, for a random monotone …

Ratio convergence rates for Euclidean first-passage percolation: Applications to the graph
infinity Laplacian Page 1 The Annals of Applied Probability 2024, Vol. 34, No. 4, 3870–3910 …

We prove that the convex peeling of a random point set in dimension d approximates motion
by the 1/(d+ 1) power of Gaussian curvature. We use viscosity solution theory to interpret the …

In this paper, we prove the random homogenization of general coercive non-convex
Hamilton–Jacobi equations in the one dimensional case. This extends the result of …

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 $ M $ is a compact …

This paper is the first attempt to systematically study properties of the effective Hamiltonian
HH¯ arising in the periodic homogenization of some coercive but nonconvex Hamilton …

Stochastic optimal control problems with constraints on the probability distribution of the final
output are considered. Necessary conditions for optimality in the form of a coupled system of …

G-equation is a popular level set model in turbulent combustion, and becomes an advective
mean curvature type evolution equation when curvature of a moving flame in a fluid flow is …