Mixed Problem with an Integral Two-Space-Variables condition for a Third Order Parabolic Equation

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Oussaeif Taki Eddine, Bouziani Abdelfatah, Mixed Problem with an Integral Two-Space-Variables condition for a Third Order Parabolic Equation, Int. J. Anal. Appl., 12 (2) (2016), 98-117.

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Oussaeif Taki Eddine, Bouziani Abdelfatah

Abstract

This paper is concerned with the existence and uniqueness of a strong solution to a mixed problem which combine Dirichlet and integral two space variables conditions for a third order linear parabolic equation. The proof uses a functional analysis method presented, which it is based on an energy inequality and the density of the range of the operator generated by the problem.

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