9780792352327 - Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert?s Fifth Problem (Mathematics and Its Applications, 4... (3 Ergebnisse)

Zustand: New. In.

Zustand: New. Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions. Series: Mathematics and its Applications. Num Pages: 238 pages, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 15. Weight in Grams: 542. . 1998. 1998th Edition. hardcover. . . . . Books ship from the US and Ireland.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.