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We consider the problem of maximal regularity for non-autonomous Cauchy problems In both cases, the time dependent operators A(t) are associated with a family of sesquilinear forms and the multiplicative left or right perturbations B(t) as well as the additive perturbation P (t) are families of bounded operators on the considered Hilbert space. We prove maximal L p -regularity results and other regularity properties for the solutions of the previous problems under minimal regularity assumptionsdoi:10.4064/sm8721-6-2017 fatcat:cvvcnpodf5bu5oo3td3crhaqbu