Analytic Semigroups and Semilinear Initial Boundary Value Problems - Kazuaki (Waseda University Taira - Bog

A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations. This second edition explores the relationship between elliptic and semilinear parabolic initial boundary value problems, focusing on the study of analytic semigroups. It is ideal for advanced undergraduate and graduate students.