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 (Hardcover)

By Elemer E Rosinger , E E Rosinger 
Publisher: Springer
Edition: Hardcover
Language: English
ISBN: 0792352327
EAN: 9780792352327
No. of Units: 1
No. of Pages: 244
Publish Date: 1998-12-1
Binding: Hardcover
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Description

This book presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalised functions. Earlier, in part 3 of Oberguggenberger & Rosinger, Lie group actions were defined globally - in the projectable case - on the nowhere dense differential algebras of generalised functions An, as well as on the Colombeau algebras of generalised functions, and also on the spaces obtained through the order completion of smooth functions, spaces which contain the solutions of arbitrary continuous nonlinear PDEs. Further details can be found in Rosinger & Rudolph, and Rosinger & Walus 1,2]. To the extent that arbitrary Lie group actions are now defined on such nonsmooth entities as generalised functions, this result can be seen as giving an ans wer to Hilbert's fifth problem, when this problem is interpreted in its original full gener ality, see for details chapter 11."
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Specification

Title: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes: Including a Solution to Hilbert's Fifth Problem
Publisher: Springer
Author: Elemer E Rosinger , E E Rosinger
Edition: Hardcover
Language: English
ISBN: 0792352327
EAN: 9780792352327
No. of Units: 1
No. of Pages: 244
Publish Date: 1998-12-1
Binding: Hardcover

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