© 1992

Multiplication of Distributions

A tool in mathematics, numerical engineering and theoretical physics

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1532)

Table of contents

  1. Front Matter
    Pages I-X
  2. Jean François Colombeau
    Pages 1-12
  3. Jean François Colombeau
    Pages 13-29
  4. Jean François Colombeau
    Pages 30-61
  5. Jean François Colombeau
    Pages 97-123
  6. Jean François Colombeau
    Pages 158-171
  7. Back Matter
    Pages 172-184

About this book


This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).


Elastoplasticity Multifluid flows Shock waves calculus differential equation multiplication of distributions nonlinear hyperbolic systems numerical methods

Bibliographic information

  • Book Title Multiplication of Distributions
  • Book Subtitle A tool in mathematics, numerical engineering and theoretical physics
  • Authors Jean F. Colombeau
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-56288-7
  • eBook ISBN 978-3-540-47510-1
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 186
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Applications of Mathematics
  • Buy this book on publisher's site