For strips of width 2w and height h, with both exchange and the dipole-dipole interaction, we find that Neel and Bloch domain walls are locally stable. As h is increased to hc, Neel walls evolve continuously to Bloch walls by a second-order transition. It is mediated by a critical mode with , corresponding to motion of the domain wall center. A uniform out-of-plane rf-field couples strongly to this critical mode only in the Neel phase. Local, but not global stability relative to a crosstie phase was established.