## The semigroup approach to the two-phase Stefan problem with nonlinear flux conditions.(English)Zbl 0593.35092

Free boundary problems: applications and theory, Vol. III, Proc. Int. Colloq., Maubuisson/France 1984, Res. Notes Math. 120, 28-39 (1985).
[For the entire collection see Zbl 0578.35003.]
The aim of this paper is to present some simple remarks, in particular from the numerical point of view, on the two-phase Stefan problem in several space variables, with a nonlinear flux condition on the fixed part of the boundary. The approach is based on the theory of the nonlinear contraction semigroups in $$L^ 1(\Omega)$$.

### MSC:

 35R35 Free boundary problems for PDEs 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 47H20 Semigroups of nonlinear operators

Zbl 0578.35003