Erratum to: A homogenization result in the gradient theory of phase transitions

Abstract

We would like to thank Will Feldman and Peter S. Morfe for pointing out the typo in the cell formula of Definition 1.3 in [1]. Here we present the correct formula for the energy density of the limiting functional, together with the minor modifications needed to adjust accordingly the proofs of the results presented in the paper.

Anisotropic Surface Tensions for Phase Transitions in Periodic Media

“…Theorem 1.1. ([9, Theorem 1.6], see also [10]). Let {ε k } k∈N be a sequence such that ε k → 0 + as k → ∞.…”

On a singular limit of the Kobayashi--Warren--Carter energy

“…In recent years, the Gamma limit of the double-well Modica-Mortola function with spatial inhomogeneity has been studied from a homogenization point of view (see, e.g. [CFHP1], [CFHP2]) but still under L 1 or convergence in measure.…”