Differentiable dependence upon the data in a one‐phase Stefan problem
Peter Jochum, Bruno Brosowski · Mathematical Methods in the Applied Sciences · 1980
Abstract It is well known that the free boundary of the one‐phase Stefan problem (1.1–5) depends continuously on the boundary data [1]. In this paper we prove that, in addition, the solution operator S which, to each g . assigns the corresponding free boundary, is continuously Frechet differentiable and we give the defining formulas of the Frechet derivative.