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Book Cover
E-book
Author Prüss, Jan, 1951- author

Title Evolutionary integral equations and applications / Jan Prüss
Edition Reprint of the 1993 edition
Published Dordrecht : Springer, [2012]
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Description 1 online resource (390 pages)
Series Modern Birkhäuser classics
Modern Birkhäuser classics.
Contents 1. Equations of Scalar Type -- Resolvents -- Analytic Resolvents -- Parabolic Equations -- Subordination -- Linear Viscoelasticity -- 2. Nonscalar Equations -- Hyperbolic Equations of Nonscalar Type -- Nonscalar Parabolic Equations -- Parabolic Problems in L p-Spaces -- Viscoelasticity and Electrodynamics with Memory -- 3. Equations on the Line -- Integrability of Resolvents -- Limiting Equations -- Admissibility of Function Spaces -- Further Applications and Complemaents
Summary 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 including detailed proofs and its applications to problems from mathematical physics, such as viscoelasticity, heat conduction, and electrodynamics with memory
Bibliography Includes bibliographical references and index
Subject Volterra equations.
Form Electronic book
ISBN 3034804997 (electronic bk.)
9783034804998 (electronic bk.)