ON A THIRD ORDER PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
Keywords:
Integral Boundary Condition, Energy Inequalities, Parabolic equation of mixed typeAbstract
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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References
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