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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Elemer E. Rosinger
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Description for Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
hardcover. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Kluwer Academic Publishers United States
Number of pages
238
Condition
New
Series
Mathematics and its Applications
Number of Pages
238
Place of Publication
Dordrecht, Netherlands
ISBN
9780792352327
SKU
V9780792352327
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
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 ... Read more