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Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator

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  • Said Mesloub
  • Abdelfatah Bouziani

Abstract

In this paper, we prove the existence, uniqueness and continuous dependence on the data of a solution of a mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator. The proof uses a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the considered problem.

Suggested Citation

  • Said Mesloub & Abdelfatah Bouziani, 2002. "Mixed problem with a weighted integral condition for a parabolic equation with the Bessel operator," International Journal of Stochastic Analysis, Hindawi, vol. 15, pages 1-10, January.
    • Handle: RePEc:hin:jnijsa:240390
    DOI: 10.1155/S1048953302000242
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    Cited by:

    1. Bouziani Abdelfatah & Oussaeif Taki-Eddine & Ben Aoua Leila, 2013. "A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, May.

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