On non-autonomous maximal L p -regularity under Besov regularity in time in weighted spaces
On non-autonomous maximal L p -regularity under Besov regularity in time in weighted spaces
We consider the problem of maximal regularity for non-autonomous Cauchy problems u ′ (t) + A(t)u(t) = f (t), t-a.e., u(0) = u 0. The time dependent operators A(t) are associated with (time dependent) sesquilinear forms on a Hilbert space H. We prove the maximal regularity result in temporally weighted …