The existence and the uniqueness of solutions to some semilinear parabolic equations on
homogeneous Lie groups, namely, the Fokker–Planck equation and the Hamilton–Jacobi …

We provide Lipschitz regularity for solutions to viscous time-dependent Hamilton-Jacobi
equations with right-hand side belonging to Lebesgue spaces. Our approach is based on a …

We prove homogenization for degenerate viscous Hamilton-Jacobi equations in dimension
one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of …

It was pointed out by P.-L. Lions, G. Papanicolaou, and SRS Varadhan in their seminal
paper (1987) that, for first order Hamilton–Jacobi (HJ) equations, homogenization starting …

We prove the homogenization of a class of one-dimensional viscous Hamilton-Jacobi
equations with random Hamiltonians that are nonconvex in the gradient variable. Due to the …

We prove homogenization for a class of viscous Hamilton-Jacobi equations in the stationary
& ergodic setting in one space dimension. Our assumptions include most notably the …

We prove homogenization for degenerate viscous Hamilton–Jacobi equations in dimension
one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of …

We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the
form G (p)+ V (x, ω) for a wide class of stationary ergodic random media in one space …

We establish homogenization for nondegenerate viscous Hamilton-Jacobi equations in one
space dimension when the diffusion coefficient $ a (x,\omega)> 0$ and the Hamiltonian $ H …

We provide a semigroup approach to viscous Hamilton–Jacobi equations. It turns out that
exponential Orlicz hearts are suitable spaces to handle the (quadratic) non-linearity of the …