INVERSE SOURCE RECOVERY IN A CLASS OF SINGULAR DIFFUSION EQUATIONS VIA OPTIMAL CONTROL

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dc.contributor.authorMahdi, Nedjma
dc.date.accessioned2026-09-29T12:21:19Z
dc.date.available2026-09-29T12:21:19Z
dc.date.issued2025
dc.description.abstractThis paper addresses the inverse problem of identifying a space-dependent source term in a singular parabolic equation involving an inverse-square potential, knowing final time measurement data. The problem is reformulated within an optimal control framework, minimizing a Tikhonovregularized functional to ensure stability. Theoretical contributions include existence and uniqueness of weak solutions for the direct problem, along with a stability estimate for the inverse problem under a first-order optimality condition. A Landweber-type iterative algorithm is designed for numerical reconstruction, validated through synthetic examples with both exact and noisy data.
dc.identifier.urihttp://dspace.univ-khenchela.dz:4000/handle/123456789/11569
dc.language.isoen
dc.titleINVERSE SOURCE RECOVERY IN A CLASS OF SINGULAR DIFFUSION EQUATIONS VIA OPTIMAL CONTROL
dc.typeArticle
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