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We state and prove a stabilisation result for solutions of abstract gradientsystems associated with nonsmooth energy functions on infinite dimensionalHilbert spaces. One feature is that in this general setting the assumption onthe range of the solution can be considerably relaxed, which considerablysimplifies the applicability of the stabilisation result even in the case ofsmooth energies.

The Kurdyka-{\L}ojasiewicz-Simon inequality and stabilisation in nonsmooth infinite-dimensional gradient systems