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2011•Revue Sciences Humaines (Université des Frères Mentouri Constantine 1)Open access

ON A THIRD ORDER PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS

M. Bouzit, Nadir Teyar

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Abstract

In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method.

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What this paper is about

In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method.

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Available abstract

In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method.

Key concepts: Uniqueness, Mathematics, Mathematical analysis, A priori and a posteriori, Parabolic partial differential equation, Boundary value problem, Third order, Fourier transform

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