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A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator

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  • Bouziani Abdelfatah
  • Oussaeif Taki-Eddine
  • Ben Aoua Leila

Abstract

We study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate “energy inequality” and the density of the range of the operator generated by the problem considered.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:457631
    DOI: 10.1155/2013/457631
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    References listed on IDEAS

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    1. Abdelfatah Bouziani, 1996. "Mixed problem with boundary integral conditions for a certain parabolic equation," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-8, January.
    2. 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.
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