A singular perturbation problem with integral curvature bound
Preprint Series # 803 Nagase, Yuko and Tonegawa, Yoshihiro A singular perturbation problem with integral curvature bound. (2006); AbstractWe consider a singular perturbation problem of ModicaMortola functional
as the thickness of diffused interface approaches to zero. We assume that
sequence of functions have uniform energy and squareintegral curvature
bounds in two dimension. We show that the limit measure concentrate on
one rectifiable set and has square integrable curvature.
