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The Lax equation and weak regularity of asymptotic estimate Lie groups

The Lax equation and weak regularity of asymptotic estimate Lie groups

Abstract We investigate the Lax equation in the context of infinite-dimensional Lie algebras. Explicit solutions are discussed in the sequentially complete asymptotic estimate context, and an integral expansion (sums of iterated Riemann integrals over nested commutators with correction term) is derived for the situation that the Lie algebra is inherited …