Evolutionary Integral Equations and Applications

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 presentation of the state of art of the theory inclu...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Prüss, Jan (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Series:Modern Birkhäuser Classics,
Subjects:
Integral equations.
Differential equations.
Operator theory.
Integral Equations.
Differential Equations.
Operator Theory.
Online Access:Texto Completo
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.

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