Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
Including a Solution to Hilbert's Fifth Problem
by Elemér E. Rosinger
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.
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Mathematics, Differential equations, partial, Topological Groups, Global analysis, Differential equations, nonlinear, numerical solutions, Lie groups, Partial Differential equations, Global Analysis and Analysis on Manifolds, Lie Groups Topological Groups, Mathematical and Computational Physics Theoretical, Applications of MathematicsShowing 1 featured edition. View all 1 editions?
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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs: Including a Solution to Hilbert's Fifth Problem
1998, Springer Netherlands
electronic resource :
in English
9048150930 9789048150939
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| September 29, 2024 | Edited by MARC Bot | import existing book |
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