ON A THIRD ORDER PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS | ASJP

Sciences & technologie. A, sciences exactes
Volume 0, Numéro 33, Pages 33-38
2011-06-30

On A Third Order Parabolic Equation With Nonlocal Boundary Conditions

Authors : Bouzit M . Teyar N .

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.

Keywords

Integral Boundary Condition, Energy Inequalities, Parabolic equation of mixed type.

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