Regional Observability with Constraints on the State of Semilinear Parabolic Systems

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Authors

  • Hayat Zouiten TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco Author
  • Ali Boutoulout TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco Author
  • Fatima-Zahrae El Alaoui TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco Author

DOI:

https://doi.org/10.5890/DNC.2019.06.008

Abstract

The paper is devoted to the investigation of regional observability with constraints on the state of semilinear parabolic systems. The purpose is to reconstruct the initial state between two prescribed functions only on an internal subregion ω of the system evolution domain Ω. The proofs use two approaches, the subdifferential and HUM approach. Finally, a numerical example is provided to verify the effectiveness of our theory results.

References

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PublishedJune 2019

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How to Cite

Zouiten, H., Boutoulout, A., & Alaoui, F.-Z. E. (2026). Regional Observability with Constraints on the State of Semilinear Parabolic Systems. Discontinuity, Nonlinearity, and Complexity, 8(2), 211-223. https://doi.org/10.5890/DNC.2019.06.008