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On a parabolic equation in a triangular domain |
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| Authors: | Rabah Labbas Ahmed Medeghri Boubaker-Khaled Sadallah |
| Affiliation: | a Laboratoire de mathématiques, Université du Havre, F.S.T, B.P. 540, 76058, Le Havre, France b Université du Havre, I.U.T, B.P. 4006, 76610, Le Havre, France c Département de Maths, Ecole Normale Supérieure, 16050 Kouba, Alger, Algeria |
| Abstract: | We prove the optimal regularity, in Sobolev spaces, of the solution of a parabolic equation set in a triangular domain T. The right-hand term of the equation is taken in Lebesgue space Lp(T). The method of operators sums in the non-commutative case is referred to. |
| Keywords: | Sum of linear operators Heat equation on non-cylindrical domain Interpolation spaces |
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