The existence and regularity for the solution of
one linear system (auxiliary linear system), having a structure
similar with those that appear in the associated approximating
schemes to the nonlinear phase-field transition system,
it is proved in this Annexe (Theorem A.1). Concerning the
methods used in the proof, an essential difference with respect
to Chapter 2 consists in that, presently, we make the a priori
estimates in L2(Q) in place of Lp(Q). Estimation technique
that is used is also different from those used for the rest of the
book......
