REGULARIZATION OF THE ILL-POSED ABSTRACT CAUCHY PROBLEM

摘要

In this chapter, we explore the differential Cauchy problem (0.1) written in the abstract form u'(t) = Au(t), t ∈ [0;τ), τ≤ ∞, u(0) = f, (1.1.1) where A is a closed linear operator with domain Dom A, acting in a complex Banach space X.