1 - 10 of 11 articles
In this paper, we are concerned with the global singularity structures of weak solutions to 4-D semilinear dispersive wave equations whose initial data are chosen to be discontinuous on the unit sphere. Combining Strichartz's inequality with the commutator argument techniques, we show that the...
We give a new proof of the Margulis-Platonov conjecture for the groups SL
which is shorter than the previous proofs and in which the use of the classification of finite simple groups is limited to the fact that every such group is generated by two elements. The argument is based on further...
We give a rigorous proof of the monotonicity formula of S.-Y.A. Chang, L. Wang and P. Yang  for (extrinsically) stationary biharmonic maps of class W
Dans cet article, nous construisons des transferts au sens de la théorie des complexes motiviques de V. Voeovdsky (cf , chap. 5) sur les groupes de Chow à coefficients définis par M. Rost. On remarquera particulièrement que ceci définit des transferts sur les faisceaux de K-théorie de Milnor...
Let K be a p-adic field. We explore Igusa's p-adic zeta function, which is associated to a K-analytic function on an open and compact subset of K
. First we deduce a formula for an important coefficient in the Laurent series of this meromorphic function at a candidate pole. Afterwards we use...
We discuss the Noether-Lefschetz locus for Beilinson's Hodge cycles. Here ``Beilinson's Hodge cycles'' mean the cohomology class of Bloch's higher Chow cycles on smooth varieties. The main result is to give an estimate of the dimension of the maximal component of the Noether-Lefschetz locus for...
Generalizing work of Li and Wang, we prove sharp volume growth/decay rates for ends of metric measure spaces supporting a (p,p)-Sobolev inequality. A sharp result for (q,p)-Sobolev inequalities is also proved.
The present paper is devoted to the study of spectral properties of random Schrödinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate for some alloy type models where the single site potential is allowed to change sign. The results apply to the...
We describe the asymptotic behavior of automorphisms of totally disconnected locally compact groups in terms of a set of `directions' which comes equipped with a natural pseudo-metric. The structure at infinity obtained by completing the induced metric quotient space of the set of directions...
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