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001			293072
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008			150903s2011 sz | o |||| 0|eng d
020			_a9783034800877 _99783034800877
024	7		_a10.1007/9783034800877 _2doi
035			_avtls000345247
039		9	_a201509030411 _bVLOAD _c201405050318 _dVLOAD _y201402061332 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aArendt, Wolfgang. _eautor _9325378
245	1	0	_aVector-valued Laplace Transforms and Cauchy Problems : _bSecond Edition / _cby Wolfgang Arendt, Charles J.K. Batty, Matthias Hieber, Frank Neubrander.
264		1	_aBasel : _bSpringer Basel, _c2011.
300			_axii, 540 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aMonographs in Mathematics ; _v96
500			_aSpringer eBooks
505	0		_aPreface to the First Edition -- Preface to the Second Edition -- I Laplace Transforms and Well-Posedness of Cauchy Problems -- 1 The Laplace Integral -- 2 The Laplace Transform -- 3 Cauchy Problems -- II Tauberian Theorems and Cauchy Problems -- 4 Asymptotics of Laplace Transforms -- 5 Asymptotics of Solutions of Cauchy Problems -- III Applications and Examples -- 6 The Heat Equation -- 7 The Wave Equation -- 8 Translation Invariant Operators on Lp(Rn) -- A Vector-valued Holomorphic Functions -- B Closed Operators -- C Ordered Banach Spaces -- D Banach Spaces which Contain c0 -- E Distributions and Fourier Multipliers -- Bibliography -- Notation -- Index.
520			_aThis monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The authors have succeeded admirably in bringing together a wealth of recent material, much of which appears in book form for the first time. This authoritative work is likely to become a standard reference on both the Laplace transform and its applications to the abstract Cauchy problem. … The book is an excellent textbook as well. Proofs are always transparent and complete, and many topics that could have been considered as background material are covered as well. All this makes the text very accessible and self-contained. Applications to concrete differential operators are given throughout the text. Each chapter ends with historical and bibliographical comments. … In summary, this book will be of interest to a wide audience of (functional) analysts and it should have a place in every mathematics library. Warmly recommended! Jan van Neerven, Nieuw Archief voor Wiskunde, No. 3, 2003
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aBatty, Charles J.K. _eautor _9325379
700	1		_aHieber, Matthias. _eautor _9325292
700	1		_aNeubrander, Frank. _eautor _9325380
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783034800860
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-0348-0087-7 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c293072 _d293072