SOLUTION OF A 2-DIMENSIONAL STATIONARY INDUCTION-HEATING PROBLEM WITHOUT BOUNDEDNESS OF THE COEFFICIENTS

We consider in this paper a system of equations modelling a quasi-stat ionary induction heating process. Existence of a solution is obtained in Sobolev spaces using estimations in L-infinity-norm. Using a trunca tion technique, we build a sequence of truncated problems the solution s of which converge to a solution of the initial unbounded coefficient problem.