ABSTRACT

In this chapter we explore the Cauchy problem written in the abstract form with a closed linear operator A in a Banach space χ : https://www.w3.org/1998/Math/MathML"> u ′ ( t ) = A u ( t ) , t ∈ [ 0 , τ ) , τ ≤ ∞ , u ( 0 ) = f . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315372631/8d241a72-5734-4f91-861d-00f78934b0a5/content/math_equ1_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>