Abstract
In chapter 4, in (4.1) – (4.4), we have seen the novel way in extending globally the arbitrary Lie group actions (1.2) from manifolds M = Ω × R to C ∞-smooth functions U : Δ → R, with Δ ⊆ Ω nonvoid, open, by using the parametric representation U* : Δ → M of U.
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© 1998 Springer Science+Business Media Dordrecht
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Rosinger, E.E. (1998). Parametric Functions as Solutions. In: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs. Mathematics and Its Applications, vol 452. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9076-1_5
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DOI: https://doi.org/10.1007/978-94-015-9076-1_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5093-9
Online ISBN: 978-94-015-9076-1
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