Parametric lie group actions on global generalised solutions of nonlinear PDEs, including a solution to Hilbert's fifth problem /

Parametric lie group actions on global generalised solutions of nonlinear PDEs, including a solution to Hilbert's fifth problem /

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Bibliographic Details
Author / Creator:	Rosinger, Elemer E.
Imprint:	Dordrecht ; Boston : Kluwer Academic Publishers, c1998.
Description:	xvii, 234 p. ; 25 cm.
Language:	English
Series:	Mathematics and its applications ; v. 452 Mathematics and its applications (Kluwer Academic Publishers) ; v. 452.
Subject:	Differential equations, Nonlinear -- Numerical solutions. Lie groups. Differential equations, Nonlinear -- Numerical solutions. Lie groups.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/3549351

Hidden Bibliographic Details
ISBN:	0792352327 (acid-free paper)
Notes:	Includes bibliographical references (p. 225-231) and index.

Table of Contents:

1. Introduction
2. Actions on functions, difficulties
3. Parametric representation of functions
4. Action on parametric representations
5. Parametric functions as solutions
6. Rarefaction waves and Riemann solvers of the nonlinear shock wave equation
7. Arbitrary nonlinear Lie group actions on generalised functions
8. Nonprojectable Lie group symmetries of rarefaction waves and Riemann solvers
9. General parametric approach to Lie symmetries
10. Projectable Lie group actions and Hilbert's fifth problem
11. Nonprojectable Lie group actions and an answer to Hilbert's fifth problem
12. Singularities and the nowhere dense algebras of generalised functions
13. Lie semigroup actions and semisymmetries.