Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs | Including a Solution to Hilbert's Fifth Problem

Elemer E. Rosinger

ISBN 10: 9048150930 / ISBN 13: 9789048150939

Editore: Springer, 2010

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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs | Including a Solution to Hilbert's Fifth Problem | Elemer E. Rosinger | Taschenbuch | xviii | Englisch | 2010 | Springer | EAN 9789048150939 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Codice articolo 107246420

Dati bibliografici

• Titolo: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs | Including a Solution to Hilbert's Fifth Problem
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048150930
• ISBN 13: 9789048150939
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 244 L x 170 A x 15 P (millimetri) 244 millimetri di larghezza per 170 millimetri di altezza per 15 millimetri di profondità
• Peso: 455 grammi
• Cataloghi dei venditori:
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Descrizione articolo

Riassunto

This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions.
The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings. Thus, they cannot be subsemigroups of Lie groups.
Audience: This volume is addressed to graduate students and researchers involved in solving linear and nonlinear partial differential equations, and in particular, in dealing with the Lie group symmetries of their classical or generalised solutions.

Recensione

E.E. Rosinger

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Including a Solution to Hilbert’s Fifth Problem

"This book presents a novel approach to Lie group actions on ordinary and generalized functions, based on parametric representation. This allows a global definition of arbitrary nonlinear Lie group actions on functions, including generalized functions. The parametric approach also makes possible a global definition for Lie semigroup actions. It is shown that the usual Lie group symmetries of classical solutions of smooth nonlinear PDEs will remain Lie group symmetries of generalized solutions of such equations."

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