Maximal regularity for parabolic equations with measurable dependence on time and applications

The subject of this thesis is the study of maximal L^p-regularity of the Cauchy problem u'(t)+A(t)u(t)=f(t), t∈ (0,T), u(0)=x. <br/>We assume (A(t))_{t∈ (0,T)} to be a family of closed operators on a Banach space X₀, with constant domain D(A(t))=X₁ for every t∈ (0,T). Maximal L^p-regularity means that...