Weighted Poincaré inequality and rigidity of complete manifolds
Weighted Poincaré-type estimates for conjugate -harmonic tensors.
Weighted Weyl estimates near an elliptic trajectory.
Let Ψjh and Ejh denote the eigenfunctions and eigenvalues of a Schrödinger-type operator Hh with discrete spectrum. Let Ψ(x,ξ) be a coherent state centered at a point (x,ξ) belonging to an elliptic periodic orbit, γ of action Sγ and Maslov index σγ. We consider weighted Weyl estimates of the following form: we study the asymptotics, as h → 0 along any sequenceh = Sγ / (2πl - α + σγ), l ∈ N, α ∈ R fixed, ofΣ|Ej - E| ≤ ch |(Ψ(x,ξ), Ψjh)|2.We prove that the asymptotics depend strongly on α-dependent...
Weil bundles and jet spaces
Weil prolongations of Banach manifolds in an analytic model of
Weilian prolongations of actions of smooth categories
First of all, we find some further properties of the characterization of fiber product preserving bundle functors on the category of all fibered manifolds in terms of an infinite sequence of Weil algebras and a double sequence of their homomorphisms from [5]. Then we introduce the concept of Weilian prolongation of a smooth category over and of its action . We deduce that the functor transforms -bundles into -bundles.
Weitzenböck Formula for SL(q)-foliations
A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.
Weitzenböck Formula on Lie Algebroids
A Weitzenböck formula for the Laplace-Beltrami operator acting on differential forms on Lie algebroids is derived.
Well-posedness of the Euler and Navier-Stokes equations in the Lebesque spaces Lsp(R2).
In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spacesLsp = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
Weyl algebra and a realization of the unitary symmetry
In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the -dimensional quantum harmonic oscillator...
Weyl formula for quasi-elliptic pseudo-differential operators
What is the role of twistors in supergeometry.
Where does randomness lead in spacetime?
We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.
Which values of the volume growth and escape time exponent are possible for a graph?
Whitney -faults which are hard to detect
Whitney (b)-regularity is weaker than Kuo's ratio test for real algebraic stratifications.
Whitney C...-topologies and the Baire property.
Whitney regularity and generic wings
Given adjacent subanalytic strata in verifying Kuo’s ratio test (resp. Verdier’s -regularity) we find an open dense subset of the codimension submanifolds (wings) containing such that is generically Whitney -regular is exactly one more than the dimension...
Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions