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1999
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Abdelfatah Bouziani, « On a class of parabolic equations with a nonlocal boundary condition », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1999.27977
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The present paper is devoted to a proof of the existence, uniqueness and continuous dependence of a strong solution upon the data for a mixed problem which combines Neumann and integral conditions for a class of parabolic equations. The proof is based on an a priori estimate and on the density of the range of the linear operator associated to the abstract formulation of the studied problem.