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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
Reviews
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."
—MATHEMATICAL REVIEWS
Authors and Affiliations
Bibliographic Information
Book Title: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Book Subtitle: Including a Solution to Hilbert’s Fifth Problem
Authors: Elemér E. Rosinger
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/978-94-015-9076-1
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1998
Hardcover ISBN: 978-0-7923-5232-7Published: 31 October 1998
Softcover ISBN: 978-90-481-5093-9Published: 09 December 2010
eBook ISBN: 978-94-015-9076-1Published: 09 March 2013
Edition Number: 1
Number of Pages: XVIII, 238
Topics: Partial Differential Equations, Global Analysis and Analysis on Manifolds, Topological Groups, Lie Groups, Theoretical, Mathematical and Computational Physics, Applications of Mathematics