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Record ID harvard_bibliographic_metadata/ab.bib.13.20150123.full.mrc:954599242:3361
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LEADER: 03361nam a22004575a 4500
001 013839977-8
005 20131206201411.0
008 121227s1996 xxu| s ||0| 0|eng d
020 $a9781461207696
020 $a9781461207696
020 $a9781461268956
024 7 $a10.1007/978-1-4612-0769-6$2doi
035 $a(Springer)9781461207696
040 $aSpringer
050 4 $aQA319-329.9
072 7 $aPBKF$2bicssc
072 7 $aMAT037000$2bisacsh
082 04 $a515.7$223
100 1 $aGrubb, Gerd,$eauthor.
245 10 $aFunctional Calculus of Pseudodifferential Boundary Problems /$cby Gerd Grubb.
250 $aSecond Edition.
264 1 $aBoston, MA :$bBirkhäuser Boston :$bImprint: Birkhäuser,$c1996.
300 $aIX, 526 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aProgress in Mathematics ;$v65
520 $aPseudodifferential methods are central to the study of partial differential equations, because they permit an "algebraization." A replacement of compositions of operators in n-space by simpler product rules for thier symbols. The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction. A secondary purposed is to give a complete treatment of the properties of the calculus of pseudodifferential boundary problems with transmission, both the first version by Boutet de Monvel (brought completely up to date in this edition) and in version containing a parameter running in an unbounded set. And finally, the book presents some applications to evolution problems, index theory, fractional powers, spectral theory and singular perturbation theory. In this second edition the author has extended the scope and applicability of the calculus wit original contributions and perspectives developed in the years since the first edition. A main improvement is the inclusion of globally estimated symbols, allowing a treatment of operators on noncompact manifolds. Many proofs have been replaced by new and simpler arguments, giving better results and clearer insights. The applications to specific problems have been adapted to use these improved and more concrete techniques. Interest continues to increase among geometers and operator theory specialists in the Boutet de Movel calculus and its various generalizations. Thus the book’s improved proofs and modern points of view will be useful to research mathematicians and to graduate students studying partial differential equations and pseudodifferential operators. From a review of the first edition: "The book is well written, and it will certainly be useful for everyone interested in boundary value problems and spectral theory." -Mathematical Reviews, July 1988
650 20 $aDifferential equations, Partial.
650 20 $aFunctional analysis.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aFunctional analysis.
650 0 $aDifferential Equations.
650 0 $aDifferential equations, partial.
650 24 $aOrdinary Differential Equations.
776 08 $iPrinted edition:$z9781461268956
830 0 $aProgress in Mathematics ;$v65.
988 $a20131119
906 $0VEN