000 02566nam a22004098i 4500
001 CR9780511543067
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2008||||enk o ||1 0|eng|d
020 _a9780511543067 (ebook)
020 _z9780521878579 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA613.619
_b.B47 2008
082 0 4 _a515.63
_222
100 1 _aBerhanu, Shiferaw,
_eauthor.
245 1 3 _aAn introduction to involutive structures /
_cShiferaw Berhanu, Paulo D. Cordaro, Jorge Hounie.
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xii, 392 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNew mathematical monographs ;
_v6
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aLocally integrable structures -- The Baouendi-Treves approximation formula -- Sussmann's orbits and unique continuation -- Local solvability of vector fields -- The FBI transform and some applications -- Some boundary properties of solutions -- The differential complex associated with a formally integrable structure -- Local solvability in locally integrable structures -- Hardy space lemmas.
520 _aDetailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.
650 0 _aVector fields.
650 0 _aDifferential equations, Partial.
650 0 _aBivectors.
650 0 _aApproximation theory.
700 1 _aCordaro, Paulo D.,
_eauthor.
700 1 _aHounie, Jorge,
_eauthor.
776 0 8 _iPrint version:
_z9780521878579
830 0 _aNew mathematical monographs ;
_v6.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511543067
999 _c518152
_d518150