New results on the cauchy problem for parabolic systems and equations with strongly non linear sources.
Initial traces of solutions to a one-phase Stefan problem in an infinite strip.
The main result of this paper is an integral estimate valid for non-negative solutions (with no reference to initial data) u ∈ L1 loc (Rn x (0,T)) to (0.1) ut - Δ(u - 1)+ = 0, in D'(Rn x (0,T)), for T > 0, n ≥ 1. Equation (0.1) is a formulation of a one-phase Stefan problem: in this connection u is the enthalpy,...
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