Evolution Equations in Scales of Banach Spaces (Softcover Reprint of the Original 1st 2002)Paperback - Softcover Reprint of the Original 1st 2002, 15 July 2002

The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. Conditions are proved characterizing well-posedness of the linear, time-dependent Cauchy problem in scales of Banach spaces and implying local existence, uniqueness, and regularity of solutions of the quasilinear Cauchy problem.