6533b835fe1ef96bd129f2ab

RESEARCH PRODUCT

Initial Data for Non-Linear Evolution Equations and Differentiable Vectors of Group Representations

Erik TaflinJacques Simon

subject

AlgebraNonlinear systemLie algebra representationLie algebraDifferentiable functionWeak derivativeGroup representationMathematics

description

Regularity properties of non-linear Lie algebra representations are defined. These properties are satisfied in examples given by evolution equations. We prove that this regularity implies that the set of C ∞ vectors for the non-linear group representation obtained by integration of the Lie algebra representation coincide with the set of C ∞ vectors of the linear part (the order one term) of this group representation.

yearjournalcountryeditionlanguage
1995-01-01
https://doi.org/10.1007/978-94-015-8543-9_22