Lie groups of real analytic diffeomorphisms are \(L^1\)-regular
DOI10.1016/j.na.2024.113690MaRDI QIDQ6655678
Publication date: 27 December 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Carathéodory solutionabsolute continuityholomorphic mapdiffeomorphism grouptime dependenceparameter dependenceregular Lie groupreal analytic vector fieldreal analytic diffeomorphismright-invariant vector fieldlocally convex direct limitcomplex analytic mapmeasurable regularity
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Control problems involving ordinary differential equations (34H05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)
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