000 02983nam a22004575i 4500
001 978-3-540-46981-0
003 DE-He213
005 20160624101825.0
007 cr nn 008mamaa
008 121227s1990 gw | s |||| 0|eng d
020 _a9783540469810
_9978-3-540-46981-0
024 7 _a10.1007/BFb0089552
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
245 1 2 _aA Nonlinear Theory of Generalized Functions
_h[electronic resource] /
_cedited by Hebe de Azevedo Biagioni.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
300 _aXIV, 218 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1421
505 0 _aGeneralized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations.
520 _aThis book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aBiagioni, Hebe de Azevedo.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540524083
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1421
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0089552
942 _2EBK1496
_cEBK
999 _c30790
_d30790