Original solutions to all three questions of the functional analytic methods for partial differential equations course of the University of Oxford Part C examination, held on 2 June 2023. Source: released parent PDF, bundle pages 339–342; paper pages 1–4. The native PDF confirms three substantive printing issues: the cutoff function bound in 2(b)(ii), the missing boundary restriction in 3(a)(ii), and the Sobolev space used for the asserted convergence in 3(b)(iv). Each is addressed explicitly at the relevant leaf.