The approximate solvability of the inverse one phase Stefan problem
Viorel Barbu · Birkhäuser Basel eBooks · 1991
Let Ω be a bounded and open subset of R N with a sufficiently smooth boundary Γ and let σ ∈ C2( D ¯ 1 ]] <![CDATA[$${\overline D _1}$$ ) be given function on D 1 ⊂ Ω such that D t = {x ∈ Ω; σ(x) < t} is increasing in t, σ(x) = 0 for x ∈ D 0, D T = D 1 (Fig.1 below).