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- Rabah Labbas, Ahmed Medeghri, Boubaker-Khaled Sadallah
- Applied Mathematics and Computation
- 2002

We give regularity results for solutions of a parabolic equation in non-rectangular domains U = ∪t∈]0,1[{t} × It with It = {x : 0 < x < φ(t)}. The optimal regularity is obtained in the framework of the space Lp with p > 3/2 by considering the following cases: (1) When φ(t) = tα, α > 1/2 with a regular right-hand side belonging to a subspace of Lp(U) and… (More)

- Omar Belhamiti, Rabah Labbas, Keddour Lemrabet, Ahmed Medeghri
- Applied Mathematics and Computation
- 2008

We present new results on the resolution of singular transmission problems in Hölder spaces completing in this way the work in L cases given in [A. Favini, R. Labbas, K. Lemrabet, S. Maingot, Study of the limit of transmission problems in a thin layer by the sum theory of linear operators, Rev. Mater. Comput. 18 (1) (2005) 143–176]. Our approach makes use… (More)

- Houari Hammou, Rabah Labbas, Stéphane Maingot, Ahmed Medeghri
- 2013

In this paper we give some new results on second order differentialoperator equations of elliptic type with nonregular boundary conditions with coefficient-operator. The study is developped in Hölder spaces and uses the reduction method of S. G. Krein. Necessary and sufficient conditions of compatibility are established to obtain different types of… (More)

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