Multiplication of distributions
Subtitle: a tool in mathematics, numerical engineering, and theoretical physics
By: Jean François Colombeau.
Series: Lecture notes in mathematics ;; 1532; Lecture notes in mathematics (Springer-Verlag) ;; 1532.
Publisher: Springer-Verlag
Published: 1992
Place of publication: Berlin; New York
Language: eng
Number of pages: 183
Subjects: Theory of distributions (Functional analysis)
Description: 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).
Notes: Includes bibliographical references (p. [172]-183) and index.