“…The simultaneous identification of multiple parameters in nonlinear elliptic and parabolic problems has been investigated, for instance, in [7,10,16,23,39], and uniqueness questions as well as numerical methods for the stable solution have been studied. Related results have also been derived in the context of chemotaxis [17,24]. The recent work [32,33] addresses the identification of multiple scalar parameters in a phase-field model for tumour growth, which is an extended version of the Cahn-Hilliard system above.…”