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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes: Including a Solution to Hilbert's Fifth Problem - Couverture rigide
Synopsis
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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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes : Including a Solution to Hilbert's Fifth Problem
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs (Hardcover)
Edité par
Kluwer Academic Publishers, Dordrecht, 1998
ISBN 10 : 0792352327
ISBN 13 : 9780792352327
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. This text presents global actions of arbitrary Lie groups on large classes of generalized functions by using a parametric approach. This 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 sub-semigroups of Lie groups. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780792352327
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert's Fifth Problem (Mathematics and Its Applications, 452)
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert's Fifth Problem (Mathematics and Its Applications, 452)
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert's Fifth Problem (Mathematics and Its Applications, 452)
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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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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Edité par
Springer Netherlands Okt 1998, 1998
ISBN 10 : 0792352327
ISBN 13 : 9780792352327
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 260 pp. Englisch. N° de réf. du vendeur 9780792352327
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Edité par
Springer Netherlands, 1998
ISBN 10 : 0792352327
ISBN 13 : 9780792352327
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 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 Wa. N° de réf. du vendeur 5968585
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 260. N° de réf. du vendeur 26554395
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Edité par
Kluwer Academic Publishers, 1998
ISBN 10 : 0792352327
ISBN 13 : 9780792352327
Neuf
Couverture rigide
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : 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. . . . . N° de réf. du vendeur V9780792352327
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