{"ID":2844109,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.07345","arxiv_id":"2511.07345","title":"Identification of Source Terms in the Ginzburg-Landau Equation from Final Data","abstract":"In this article, we study an inverse problem consisting in the identification of a space-time dependent source term in the Ginzburg-Landau equation from final-time observations. We adopt a weak-solution framework and analyze Tikhonov's functional, deriving an explicit gradient formula via an adjoint system and proving its Lipschitz continuity. We then establish existence and uniqueness results for quasi-solutions, and validate the theory with numerical experiments based on iterative methods.","short_abstract":"In this article, we study an inverse problem consisting in the identification of a space-time dependent source term in the Ginzburg-Landau equation from final-time observations. We adopt a weak-solution framework and analyze Tikhonov's functional, deriving an explicit gradient formula via an adjoint system and proving...","url_abs":"https://arxiv.org/abs/2511.07345","url_pdf":"https://arxiv.org/pdf/2511.07345v1","authors":"[\"Roberto Morales\",\"Javier-Ramírez-Ganga\"]","published":"2025-11-10T17:46:03Z","proceeding":"math.AP","tasks":"[\"math.AP\",\"math.OC\"]","methods":"[]","has_code":false}