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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes:
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes: Including a Solution to Hilbert's Fifth Problem Hardcover - 1998 - 1998th Edition

by Elemer E. Rosinger


From the publisher

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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  • Title Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes: Including a Solution to Hilbert's Fifth Problem
  • Author Elemer E. Rosinger
  • Binding Hardcover
  • Edition number 1998th
  • Edition 1998
  • Pages 238
  • Volumes 1
  • Language ENG
  • Publisher Springer, Dordrecht / Boston / London
  • Date 1998-10-31
  • ISBN 9780792352327 / 0792352327
  • Weight 1.19 lbs (0.54 kg)
  • Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
  • Library of Congress subjects Lie groups, Differential equations, Nonlinear -
  • Library of Congress Catalog Number 98034116
  • Dewey Decimal Code 515.353
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs (Including a Solution to Hilbert's Fifth Problem)

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by Rosinger, Elemer E

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