Novotnў, N. Penel, P. Solonnikov, V. A.
Published in
Journal of Mathematical Sciences

It is shown that the stationary exterior problem for the equations of motion of a viscous compressible fluid is uniquely solvable in weighted Hölder spaces if the exterior forces and the value of the velocity at infinity are sufficiently small. As a weight function, a power function (1+|x|)−m, m>0, is taken. The proof, which is carried out by the m...

Khudaverdian, O. M.
Published in
Communications in Mathematical Physics

The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way. The formula for this semidensity is similar to the formula of the mean curvature of hypersurfaces in Euclidean space.

Bordemann, Martin Neumaier, Nikolai Waldmann, Stefan
Published in
Communications in Mathematical Physics

In this paper we construct homogeneous star products of Weyl type on every cotangent bundle T*Q by means of the Fedosov procedure using a symplectic torsion-free connection on T*Q homogeneous of degree zero with respect to the Liouville vector field. By a fibrewise equivalence transformation we construct a homogeneous Fedosov star product of standa...

Ovsienko, V. Roger, C.
Published in
Communications in Mathematical Physics

We study deformations of the standard embedding of the Lie algebra Vect(S1) of smooth vector fields on the circle, into the Lie algebra of functions on the cotangent bundle T*S1 (with respect to the Poisson bracket). We consider two analogous but different problems: (a) formal deformations of the standard embedding of Vect(S1) into the Lie algebra ...

Sopin, M. O.
Published in
Technical Physics

An analysis is made of the topological structure of an electromagnetic vector field near the point where the amplitude of the field vanishes. Linear topological defects in the form of dislocations of the wave front and disclinations are studied. It is shown that the polarization of the field near a zero of the amplitude differs from the initial val...

Han, Dong-Soong Yim, Jin-Whan
Published in
Mathematische Zeitschrift

Luo, Xuebo Niu, Pengcheng
Published in
Chinese Science Bulletin

Lu, Guozhen
Published in
Approximation Theory and its Applications

This paper deals with embedding theorems on Campanato-Morrey spaces formed by degenerate vector fields, which include Hörmander and Grushin type of vector fields. These embedding theorems are somewhat different from the known Poincaré estimates. The main ingredients of the proofs rely on the fractional maximal functions. These results evidently hav...

Mikhaîlichenko, G. G.
Published in
Siberian Mathematical Journal

Bondarenko, V. G.
Published in
Ukrainian Mathematical Journal

We obtain estimates of the covariant derivatives of Jacobi fields along a geodesic on a Riemannian manifold of negative curvature.