$H^{\infty }$-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).