On a third order parabolic equation with a nonlocal boundary condition. (2000)

• Record Type: Journal Article
• Authors: Bouziani, Abdelfatah
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 2(2000)
• Page Start: 181
• Page End: 195
• Publication Date: 2000
• Subjects: integral condition -- third order parabolic equation -- a priori estimate -- strong solution; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000198
• Languages: English
• ISSNs: 1048-9533

Abstract

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.