On a class of regular Fréchet-Lie groups
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Publication:2043532
DOI10.1007/s41980-020-00403-8zbMath1471.58004OpenAlexW3036678005WikidataQ115370974 ScholiaQ115370974MaRDI QIDQ2043532
Publication date: 2 August 2021
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41980-020-00403-8
Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25) Differentiability questions for infinite-dimensional manifolds (58B10) Manifolds of mappings (58D15)
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- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Existence of the Riemannian exponential mapping of a diffeomorphism group applied with a Sobolev metric
- Geodesic equations on diffeomorphism groups
- Partial differential equations. III: Nonlinear equations.
- Towards a Lie theory of locally convex groups
- On regular Frechet-Lie groups. IV: Definition and fundamental theorems
- Manifolds, tensor analysis, and applications.
- Infinite dimensional Lie transformation groups
- Differentiability of the evolution map and Mackey continuity
- A zoo of diffeomorphism groups on \(\mathbb R^n\)
- Flow of a hyperbolic system
- On a differential structure for the group of diffeomorphisms
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Applications différentiables et variétés différentiables de dimension infinie
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Differential calculus over general base fields and rings.
- Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
- Kinematical uniqueness of homogeneous isotropic LQC
- Fundamentals of direct limit Lie theory
- The inverse function theorem of Nash and Moser
- Differential Topology
- Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid
