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Optimal Control of a Nonlinear Elliptic Problem With Missing Data

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  • Thomas Tindano
  • Sadou Tao
  • Somdouda Sawadogo

Abstract

In this work, we give a characterization of the control for ill-posed problems. We propose the regularization method which consists in improving the data in order to obtain a well-posed problems. As the problem is nonlinear, we will use the adapted low-regret control method in order to be able to respectively determine the charaterization of the low-regret and no-regret control of the problem.

Suggested Citation

  • Thomas Tindano & Sadou Tao & Somdouda Sawadogo, 2024. "Optimal Control of a Nonlinear Elliptic Problem With Missing Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(6), pages 1-46, December.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2024:i:6:p:46
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    References listed on IDEAS

    as
    1. A. Berhail & A. Omrane, 2015. "Optimal Control of the Ill-Posed Cauchy Elliptic Problem," International Journal of Differential Equations, Hindawi, vol. 2015, pages 1-9, November.
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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