END-POINT MAXIMAL L1 REGULARITY FOR A CAUCHY PROBLEM TO PARABOLIC EQUATIONS

In this summary, we consider maximal L1-regularity of the Cauchy problem for para-bolic equations in the non-reflexive homogeneous Besov space. Let X be a Banach space and A be a closed linear operator in X with a densely defined domain D(A). Given f ∈ L(0; T;X) (1 < < ∞), we consider the abstract Cauch