an:01121297
Zbl 0894.35035
Clain, St??phane; Touzani, Rachid
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
EN
RAIRO, Mod??lisation Math. Anal. Num??r. 31, No. 7, 845-870 (1997).
00044726
1997
j
35J60 35A35
existence; truncation technique; unbounded coefficient
Authors' summary: We consider a system of equations modelling a quasistationary induction heating process. Existence of a solution is obtained in Sobolev spaces using estimations in \(L^\infty\)-norm. Using a truncation technique, we build a sequence of truncated problems, the solutions of which converge to a solution of the initial unbounded coefficient problems.
A.D.Osborne (Keele)