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On a third order parabolic equation with a nonlocal boundary condition

Abdelfatah Bouziani

International Journal of Stochastic Analysis, 2000, vol. 13, 1-15

Abstract:

In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solution upon the data, for a mixed problem which combine classical boundary conditions and an integral condition, such as the total mass, flux or energy, for a third order parabolic equation. We present a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the studied problem.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:217058

DOI: 10.1155/S1048953300000198

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