On maximal regularity for the second order Cauchy problems in Hilbert space
On maximal regularity for the second order Cauchy problems in Hilbert space
We consider the problem of maximal regularity for semilinear non-autonomous second order Cauchy problems u ′′ (t) + B(t)u ′ (t) + A(t)u(t) = F (t, u, u ′) t-a.e. u(0) = u 0 , u ′ (0) = u 1. (0.1) Here, the time dependent operator …