On a third order parabolic equation with a nonlocal boundary condition

Author:

Bouziani Abdelfatah1ORCID

Affiliation:

1. Centre Universitaire d'Oum El Bouaghi, Département de Mathématiques, B.P. 565, Oum E1 Bouaghi 04000, Algeria

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

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