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On a third order parabolic equation with a nonlocal boundary condition

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  • Abdelfatah Bouziani

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.

Suggested Citation

  • Abdelfatah Bouziani, 2000. "On a third order parabolic equation with a nonlocal boundary condition," International Journal of Stochastic Analysis, Hindawi, vol. 13, pages 1-15, January.
    • Handle: RePEc:hin:jnijsa:217058
    DOI: 10.1155/S1048953300000198
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