Evolutionary integral equations and applications
by Prüss, Jan
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. The importance of evolutionary integral equ…
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- Full title :Evolutionary integral equations and applications / Jan Prüss.
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. The importance of evolutionary integral equations - which form a larger class than do evolution equations - stems from such applications and therefore special emphasis is placed on these. A number of models are derived and, by means of the developed theory, discussed thoroughly. An annotated bibliography containing 450 entries increases the book's value as an incisive reference text.
Read More ↓Edition Statements
- Publication Date:1993.
Publication Statements
- Publisher(s):Birkhäuser Verlag
- Place of Publication:Basel
- Language:eng
- Publication Date:1993.
The Physical Object
- Description:1 online resource (xxvi, 366 pages) : : illustrations
Edition Identifiers
- ISBN:9783034885706, 3034885709, 9783034804981, 3034804989, 9783034804998, 3034804997
- DOI:10.1007/978-3-0348-8570-6
- oclc:ocn610371747
- LC Classification:QA431
- Dewey Decimal:515/.45
Table of Contents
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.
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