Elena Kosygina

Loss of Quasiconvexity in the Periodic Homogenization of Viscous Hamilton–Jacobi Equations

Abstract. We show that in the periodic homogenization of uniformly elliptic Hamilton–Jacobi equations with quasiconvex Hamiltonians in arbitrary dimensions, the effective Hamiltonian is not necessarily quasiconvex. This observation is in sharp contrast with the first-order case,...