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We introduce a skeletal structure $(M, U)$ in $ℝ^{n + 1}$ , which is an $n$ - dimensional Whitney stratified set $M$ on which is defined a multivalued “radial vector field” $U$ . This is an extension of notion of the Blum medial axis of a region in $ℝ^{n + 1}$ with generic smooth boundary. For such a skeletal structure there is defined an “associated boundary” $ℬ$ . We introduce geometric invariants of the radial vector field $U$ on $M$ and a “radial flow” from $M$ to $ℬ$ . Together these allow us to provide sufficient numerical conditions for...

Smoothness of Itô maps and diffusion processes on path spaces (I)

Xiang-Dong Li, Terry J. Lyons (2006)

Annales scientifiques de l'École Normale Supérieure

Snakes and articulated arms in an Hilbert space

Fernand Pelletier, Rebhia Saffidine (2013)

Annales de la faculté des sciences de Toulouse Mathématiques

The purpose of this paper is to give an illustration of results on integrability of distributions and orbits of vector fields on Banach manifolds obtained in [5] and [4]. Using arguments and results of these papers, in the context of a separable Hilbert space, we give a generalization of a Theorem of accessibility contained in [3] and [6] for articulated arms and snakes in a finite dimensional Hilbert space.

Sobolev-Kantorovich Inequalities

Michel Ledoux (2015)

Analysis and Geometry in Metric Spaces

In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasizes this family of interpolation inequalities, called Sobolev-Kantorovich inequalities, which may be established in the rather large setting of non-negatively curved (weighted) Riemannian manifolds by means...

Soldered double linear morphisms

Alena Vanžurová (1992)

Mathematica Bohemica

Our aim is to show a method of finding all natural transformations of a functor $T T^{*}$ into itself. We use here the terminology introduced in [4,5]. The notion of a soldered double linear morphism of soldered double vector spaces (fibrations) is defined. Differentiable maps $f : C_{0} \to C_{0}$ commuting with $T T^{*}$ -soldered automorphisms of a double vector space $C_{0} = V^{*} \times V \times V^{*}$ are investigated. On the set $Z_{s} (C_{0})$ of such mappings, appropriate partial operations are introduced. The natural transformations $T T^{*} \to T T^{*}$ are bijectively related with the elements...

Solitons on pseudo-Riemannian manifolds: Stability and motion.

Stuart, David M.A. (2000)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Solution Brances of a semilinear elliptic problem at corak-2 Bifurcation points.

Zhen Mei (1992)

Manuscripta mathematica

Solution explicite de l'équation des ondes dans un espace symétrique de type non compact de rang 1

Ahmed Intissar, Mohamed Vall Ould Moustapha (1993/1994)

Séminaire de théorie spectrale et géométrie

Solution of problem l (Vol. l (1953), p. 171) - 3 (Vol.1(1953),p172)

BENT FUGLEDE (1954)

Mathematica Scandinavica

Solution of Signorini's contact problem in the deformation theory of plasticity by secant modules method

Jindřich Nečas, Ivan Hlaváček (1983)

Aplikace matematiky

A problem of unilateral contact between an elasto-plastic body and a rigid frictionless foundation is solved within the range of the so called deformation theory of plasticity. The weak solution is defined by means of a variational inequality. Then the so called secant module (Kačanov's) iterative method is introduced, each step of which corresponds to a Signorini's problem of elastoplastics. The convergence of the method is proved on an abstract level.

Solution of the inverse problem of the calculus of variations

Jan Chrastina (1994)

Mathematica Bohemica

Given a family of curves constituting the general solution of a system of ordinary differential equations, the natural question occurs whether the family is identical with the totality of all extremals of an appropriate variational problem. Assuming the regularity of the latter problem, effective approaches are available but they fail in the non-regular case. However, a rather unusual variant of the calculus of variations based on infinitely prolonged differential equations and systematic use of...

Solution to a semilinear problem on type II regions determined by the Fučik spectrum.

Tomiczek, Petr (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solutions globales de systèmes non linéaires sur des variétés hyperboliques

Marcel Dossa (1995)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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