A priori estimates for finite-energy sequences of one-dimensional Cahn-Hilliard functional with non-standard multi-well potential.

In this paper, we provide some results pertaining to asymptotic behaviour as ε → 0 of the finite-energy sequences of the one-dimensional Cahn-Hilliard functional ... where u ∊ H1(0, 1), and where W is a multi-well potential endowed with a non-standard integrability condition. We introduce a new class of finite-energy sequences, recover its underlying geometric properties as ε → 0, and obtain the related a priori estimates. [ABSTRACT FROM AUTHOR]