I. In this second volume, we continue at first the study of non- homogeneous boundary value problems for particular classes of evolu- tion equations. 1 In Chapter 4, we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable...