Synopses & Reviews
This book deals with evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. The main feature of the kernels involved is that they consist of unbounded linear operators. The aim is a coherent
Featuring original data from the author, this volume covers evolutionary systems whose equation of state can be formulated as a linear Volterra equation in a Banach space. It includes a particular focus on infinite-dimensional systems with time delays.
About the Author
Jan Prüss is a Professor of Mathematics at the Martin-Luther-Universität Halle-Wittenberg, Germany.
Table of Contents
Preface.- Introduction.- Preliminaries.- I Equations of Scalar Type.- 1 Resolvents.- 2 Analytic Resolvents.- 3 Parabolic Equations.- 4 Subordination.- 5 Linear Viscoelasticity.- II Nonscalar Equations.- 6 Hyperbolic Equations of Nonscalar Type.- 7 Nonscalar Parabolic Equations.- 8 Parabolic Problems in Lp-Spaces.- 9 Viscoelasticity and Electrodynamics with Memory.- III Equations on the Line.- 10 Integrability of Resolvents.- 11 Limiting Equations.- 12 Admissibility of Function Spaces.- 13 Further Applications and Complements.- Bibliography.- Index.