Proximal Calculus on Riemannian Manifolds, Mediterranean Journal of Mathematics, vol.2, issue.4, pp.437-450, 2005. ,
DOI : 10.1007/s00009-005-0056-4
Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applicationsàapplications`applicationsà l'hydrodynamique des fluides parfaits, pp.319-361, 1966. ,
A Lie group structure for Fourier integral operators, Mathematische Annalen, vol.7, issue.1, pp.19-41, 1986. ,
DOI : 10.1007/BF01450921
A Lie group structure for pseudodifferential operators, Mathematische Annalen, vol.1, issue.4, pp.529-551, 1986. ,
DOI : 10.1007/BF01472130
The Hopf-Rinow theorem is false in infinite dimensions, In: Bull. London Math. Soc, vol.7, issue.3, pp.261-266, 1975. ,
Integral Manifolds for Carath??odory Type Differential Equations in Banach Spaces, Six lectures on dynamical systems, pp.45-119, 1994. ,
DOI : 10.1142/9789812812865_0002
Remarks on the Euler equation, Journal of Functional Analysis, vol.15, issue.4, pp.341-363, 1974. ,
DOI : 10.1016/0022-1236(74)90027-5
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups, Journal of Mathematical Imaging and Vision, vol.68, issue.3, pp.60-97, 2014. ,
DOI : 10.1007/s10851-013-0490-z
Sobolev metrics on shape space of surfaces, J. Geom. Mech, vol.3, issue.4, pp.389-438, 2011. ,
Sobolev metrics on shape space, II: weighted Sobolev metrics and almost local metrics, J. Geom. Mech, vol.4, issue.4, pp.365-383, 2012. ,
Computing Large Deformation Metric Mappings via Geodesic Flows of Diffeomorphisms, International Journal of Computer Vision, vol.61, issue.2, pp.139-157, 2005. ,
DOI : 10.1023/B:VISI.0000043755.93987.aa
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems, Transactions of the American Mathematical Society, vol.285, issue.1, pp.159-184, 1984. ,
DOI : 10.1090/S0002-9947-1984-0748836-7
An integrable shallow water equation with peaked solitons, Physical Review Letters, vol.71, issue.11, pp.1661-1664, 1993. ,
DOI : 10.1103/PhysRevLett.71.1661
Geodesic flow on the diffeomorphism group of the circle, Commentarii Mathematici Helvetici, vol.78, issue.4, pp.787-804, 2003. ,
DOI : 10.1007/s00014-003-0785-6
URL : https://hal.archives-ouvertes.fr/hal-00003261
Ordinary Differential Equations in Banach Spaces, Lecture Notes in Mathematics, vol.596, p.137, 1977. ,
Geodesics on the symplectomorphism group, In: Geom. Funct. Anal, vol.221, pp.202-212, 2012. ,
The manifold of Riemannian metrics, Global Analysis (Proc. Sympos, pp.11-40, 1968. ,
A setting for global analysis, In: Bull. Amer. Math. Soc, vol.72, pp.751-807, 1966. ,
The Degasperis???Procesi equation as a non-metric Euler equation, Mathematische Zeitschrift, vol.46, issue.3, pp.3-4, 2011. ,
DOI : 10.1007/s00209-010-0778-2
URL : https://hal.archives-ouvertes.fr/hal-00409022
Geodesic completeness for Sobolev H s -metrics on the diffeomorphism group of the circle, Journal of Evolution Equations, vol.17, issue.1, pp.4-5, 2014. ,
DOI : 10.1007/s00028-014-0245-3
The Hopf?Rinow theorem in infinite dimension, In: J. Differential Geom, vol.13, issue.2, pp.287-301, 1978. ,
Groups of Diffeomorphisms and the Motion of an Incompressible Fluid, The Annals of Mathematics, vol.92, issue.1, pp.102-163, 1970. ,
DOI : 10.2307/1970699
Riemannian Geometry of the Contactomorphism Group, Arnold Mathematical Journal, vol.189, issue.1???2, pp.5-36, 2015. ,
DOI : 10.1007/s40598-014-0002-2
Differential Equations with Discontinuous Righthand Sides Mathematics and its Applications (Soviet Series) Translated from the Russian The Einstein evolution equations as a firstorder quasi-linear symmetric hyperbolic system. I, pp.28-29, 1972. ,
The geometry of the universal Teichm??ller space and the Euler???Weil???Petersson equation, Advances in Mathematics, vol.279, pp.717-778, 2015. ,
DOI : 10.1016/j.aim.2015.04.005
Computational anatomy: an emerging discipline, Quarterly of Applied Mathematics, vol.56, issue.4, pp.617-694, 1998. ,
DOI : 10.1090/qam/1668732
On the regularity of the composition of diffeomorphisms, Memoirs of the American Mathematical Society, vol.226, issue.1062, pp.1062-60, 2013. ,
DOI : 10.1090/S0065-9266-2013-00676-4
On the Well-posedness of the Incompressible Euler Equation, 2012. ,
Curvatures of Sobolev metrics on diffeomorphism groups, Pure and Applied Mathematics Quarterly, vol.9, issue.2, pp.291-332, 2013. ,
DOI : 10.4310/PAMQ.2013.v9.n2.a2
Riemannian Exponential Maps of the Diffeomorphism Group of T2, Asian Journal of Mathematics, vol.12, issue.3, pp.391-420, 2008. ,
DOI : 10.4310/AJM.2008.v12.n3.a7
Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators, J. Funct. Anal, vol.232, issue.2, pp.495-539, 2006. ,
Fundamentals of Differential Geometry Graduate Texts in Mathematics, p.535, 1999. ,
Nonlinear Operators and Differential Equations in Banach Spaces, Pure and Applied Mathematics, p.440, 1976. ,
Stability of flows of ideal fluids and the geometry of the group of diffeomorphisms, Math. J, vol.421, pp.215-235, 1993. ,
On Euler's equation and 'EPDiff, J. Geom. Mech, vol.53, pp.319-344, 2013. ,
Fredholm properties of Riemannian exponential maps on??diffeomorphism groups, Inventiones mathematicae, vol.179, issue.1, pp.191-227, 2010. ,
DOI : 10.1007/s00222-009-0217-3
Korteweg-de Vries superequation as an Euler equation, Functional Analysis and Its Applications, vol.98, issue.5?6, pp.329-331, 1987. ,
DOI : 10.1007/BF01077813
On Banach?Lie groups acting on finite dimensional manifolds, In: Tôhoku Math. J, vol.30, issue.2, pp.223-250, 1978. ,
Natural operations on differential forms, In: Trans. Amer. Math. Soc, vol.92, pp.125-141, 1959. ,
Foundations of Global Non-linear Analysis, p.131, 1968. ,
For ideal fluids, Eulerian and Lagrangian instabilities are equivalent, In: Geom. Funct. Anal, vol.145, pp.1044-1062, 2004. ,
The geometry of barotropic flow, In: J. Math. Fluid Mech, vol.15, issue.4, pp.807-821, 2013. ,
On restrictions and extensions of the Besov and Triebel- Lizorkin spaces with respect to Lipschitz domains, pp.237-257, 1999. ,
The geometry of the KdV equation Topological methods in quantum field theory, In: Internat. J. Modern Phys. A, vol.616, pp.2859-2869, 1990. ,
Geometry and curvature of diffeomorphism groups with H 1 metric and mean hydrodynamics, J. Funct. Anal, vol.1601, pp.337-365, 1998. ,
Topics in Banach Space Integration Series in Real Analysis, p.298, 2005. ,
Diffeomorphic groups and pattern matching in image analysis, Int. J. Comput. Vision, vol.28, pp.213-221, 1998. ,
Local Geometry of Deformable Templates, SIAM Journal on Mathematical Analysis, vol.37, issue.1, pp.17-59, 2005. ,
DOI : 10.1137/S0036141002404838
Geodesic equations on diffeomorphism groups, SIGMA Symmetry Integrability Geom Paper 030, p.22, 2008. ,