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The Resource A nonlinear theory of generalized functions, Hebe A. Biagioni

A nonlinear theory of generalized functions, Hebe A. Biagioni

Label
A nonlinear theory of generalized functions
Title
A nonlinear theory of generalized functions
Statement of responsibility
Hebe A. Biagioni
Creator
Subject
Language
eng
Summary
This 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
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1952-
http://library.link/vocab/creatorName
Biagioni, Hebe A.
Dewey number
515.782
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA324
LC item number
.L28 no. 1421
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1421
http://library.link/vocab/subjectName
  • Theory of distributions (Functional analysis)
  • Nonlinear theories
  • Nonlinear theories
  • Theory of distributions (Functional analysis)
  • Analise Funcional
  • Distribution (Funktionalanalysis)
  • Nichtlineare Funktionalanalysis
Label
A nonlinear theory of generalized functions, Hebe A. Biagioni
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 201-211) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Generalized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations
Control code
298654480
Dimensions
unknown
Extent
1 online resource (xii, 214 pages)
Form of item
online
Isbn
9783540469810
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298654480
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
A nonlinear theory of generalized functions, Hebe A. Biagioni
Publication
Bibliography note
Includes bibliographical references (pages 201-211) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Generalized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations
Control code
298654480
Dimensions
unknown
Extent
1 online resource (xii, 214 pages)
Form of item
online
Isbn
9783540469810
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298654480
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Library Locations

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      38.944491 -92.326012
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