{"ID":2865911,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.20984","arxiv_id":"2509.20984","title":"$H^\\infty$-control problem for a singular parabolic system with convection","abstract":"We study the $H^\\infty-$control problem for an infinite dimensional parabolic system, with a convection term, perturbed by a singular inverse-square potential with control distributed in the interior of a domain, extending part of the results by G. Marinoschi (ESAIM: COCV, 2023).","short_abstract":"We study the $H^\\infty-$control problem for an infinite dimensional parabolic system, with a convection term, perturbed by a singular inverse-square potential with control distributed in the interior of a domain, extending part of the results by G. Marinoschi (ESAIM: COCV, 2023).","url_abs":"https://arxiv.org/abs/2509.20984","url_pdf":"https://arxiv.org/pdf/2509.20984v1","authors":"[\"Cristian Cazacu\",\"Gabriela Marinoschi\",\"Teodor Rugină\"]","published":"2025-09-25T10:28:37Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}