Singularity analysis and integrability of a Burgers-type system of Foursov.
Singularity classes of special 2-flags.
Six-dimensional considerations of Einstein's connection for the first two-classes. I: The recurrence relations in 6--UFT.
Size minimizing surfaces
We prove a new existence theorem pertaining to the Plateau problem in -dimensional Euclidean space. We compare the approach of E.R. Reifenberg with that of H. Federer and W.H. Fleming. A relevant technical step consists in showing that compact rectifiable surfaces are approximatable in Hausdorff measure and in Hausdorff distance by locally acyclic surfaces having the same boundary.
Ski de fond
Slices for Proper Actions of non-Compact lie groups
Small eigenvalues of Riemann surfaces and graphs.
Small eigenvalues of the Neumann realization of the semiclassical Witten Laplacian
This article follows the previous works [HeKlNi, HeNi] by Helffer-Klein-Nier and Helffer-Nier about the metastability in reversible diffusion processes via a Witten complex approach. Again, exponentially small eigenvalues of some self-adjoint realization of are considered as the small parameter tends to . The function is assumed to be a Morse function on some bounded domain with boundary . Neumann type boundary conditions are considered. With these boundary conditions, some possible simplifications...
Small eigenvalues on Riemann surfaces of genus 2.
Small eigenvalues on Y-pieces and on Riemann surfaces.
Small time heat kernel behavior on Riemannian complexes.
Small time-periodic solutions to a nonlinear equation of a vibrating string
In this paper, the system consisting of two nonlinear equations is studied. The former is hyperbolic with a dissipative term and the latter is elliptic. In a special case, the system reduces to the approximate model for the damped transversal vibrations of a string proposed by G. F. Carrier and R. Narasimha. Taking advantage of accelerated convergence methods, the existence of at least one time-periodic solution is stated on condition that the right-hand side of the system is sufficiently small.
Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
Smooth bundles of generalized half-densities
Smooth bundles, whose fibres are distribution spaces, are introduced according to the notion of smoothness due to Frölicher. Some fundamental notions of differential geometry, such as tangent and jet spaces, Frölicher-Nijenhuis bracket, connections and curvature, are suitably generalized. It is also shown that a classical connection on a finite-dimensional bundle naturally determines a connection on an associated distributional bundle.
Smooth invariant curves of singularities of vector fields on
Smooth linearization of germs of -actions and holomorphic vector fields
The paper contains a generic condition permitting the linearization in class , , of germs of singular infinitesimal -actions on and of singular holomorphic...
Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Smooth optimal synthesis for infinite horizon variational problems
We study Hamiltonian systems which generate extremal flows of regular variational problems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis for the infinite horizon problem. We also show that in the Euclidean case negativity of the generalized curvature is a consequence of the convexity of the Lagrangian with respect to the pair of arguments. Finally, we give a generic classification for...
Smooth partitions of unity on some non-separable Banach spaces
Smooth singular solutions of hyperplane fields. I