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Initial-boundary value problem with a nonlocal condition for a viscosity equation

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  • Abdelfatah Bouziani

Abstract

This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral conditions for a viscosity equation. The proof is based on an energy inequality and on the density of the range of the linear operator corresponding to the abstract formulation of the studied problem.

Suggested Citation

  • Abdelfatah Bouziani, 2002. "Initial-boundary value problem with a nonlocal condition for a viscosity equation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 30, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:260172
    DOI: 10.1155/S0161171202004167
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    Cited by:

    1. Dehghan, Mehdi & Saadatmandi, Abbas, 2009. "Variational iteration method for solving the wave equation subject to an integral conservation condition," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1448-1453.

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