Non-autonomous maximal regularity in weighted space
Non-autonomous maximal regularity in weighted space
We consider the problem of maximal regularity for non-autonomous Cauchy problems u ′ (t) + A(t)u(t) = f (t) (t ∈ [0, τ ]), u(0) = u 0. The time dependent operators A(t) are associated with sesquilinear forms on a Hilbert space H. We prove the maximal regularity in the …