000			04267nam a22004815i 4500
001			978-3-0348-0499-8
003			DE-He213
005			20140220083254.0
007			cr nn 008mamaa
008			120817s2012 sz | s |||| 0|eng d
020			_a9783034804998 _9978-3-0348-0499-8
024	7		_a10.1007/978-3-0348-0499-8 _2doi
050		4	_aQA431
072		7	_aPBKL _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515.45 _223
100	1		_aPrüss, Jan. _eauthor.
245	1	0	_aEvolutionary Integral Equations and Applications _h[electronic resource] / _cby Jan Prüss.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2012.
300			_aXXVI, 366 p. 8 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModern Birkhäuser Classics
505	0		_aPreface -- 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.
520			_aThis 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.    ---   This excellent book presents a general approach to linear evolutionary systems, with an emphasis on infinite-dimensional systems with time delays, such as those occurring in linear viscoelasticity with or without thermal effects. It gives a very natural and mature extension of the usual semigroup approach to a more general class of infinite-dimensional evolutionary systems. This is the first appearance in the form of a monograph of this recently developed theory. A substantial part of the results are due to the author, or are even new. (…) It is not a book that one reads in a few days. Rather, it should be considered as an investment with lasting value. (Zentralblatt MATH)   In this book, the author, who has been at the forefront of research on these problems for the last decade, has collected, and in many places extended, the known theory for these equations. In addition, he has provided a framework that allows one to relate and evaluate diverse results in the literature. (Mathematical Reviews) This book constitutes a highly valuable addition to the existing literature on the theory of Volterra (evolutionary) integral equations and their applications in physics and engineering. (…) and for the first time the stress is on the infinite-dimensional case. (SIAM Reviews)
650		0	_aMathematics.
650		0	_aIntegral equations.
650		0	_aOperator theory.
650		0	_aDifferential Equations.
650	1	4	_aMathematics.
650	2	4	_aIntegral Equations.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aOperator Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034804981
830		0	_aModern Birkhäuser Classics
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0499-8
912			_aZDB-2-SMA
999			_c101754 _d101754