Tài liệu Đề tài " Boundary regularity for the Monge-Amp`ere and affine maximal surface equations " docx

... By convexity and the boundary estimates (2.2), we then obtain u(x) ≤ C|x| 2/(1+δ) (3.37) for x ∈ Ω near the origin. Therefore we have the following C 1,α estimate at the boundary. Theorem 3.1. ... regularity for the Monge-Amp`ere and affine maximal surface equations By Neil S. Trudinger and Xu-Jia Wang* 1010 NEIL S. TRUDINGER AND XU-JIA WANG With...

Ngày tải lên: 16/02/2014, 06:20

... y)dy, Annals of Mathematics Uniform bounds for the bilinear Hilbert transforms, I By Loukas Grafakos and Xiaochun Li UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 907 and    Φ 1,k,l (·)e −2πic(ω 1,k,l )(·)   (x)   ≤ ... supported by the NSF. UNIFORM BOUNDS FOR THE BILINEAR HILBERT TRANSFORMS, I 917 Therefore, we obtain I 13  2 ≤ C2 −ηµ 2 − µ...

Ngày tải lên: 14/02/2014, 17:20

... we weaken the assumptions of Theorem 1 and prove under these assumptions that the group admits a symmetric measure with nontrivial exit boundary. The difference between Theorem 1 and Theorem 4 ... Kaimanovich for useful discussions. I am grateful to R. Muchnik for turning my attention to the groups G w and for discussions on the upper bounds for the growth function o...

Ngày tải lên: 14/02/2014, 17:20

... t −K−2 k . The estimate for E k,4 comes from Theorem A, or rather Theorem 1 in [KSb], which is the basis for the right-hand inclusion in Theorem A. Indeed, we have, again by summing over the possible ... {A|there are kB-particles at 0 at time 0}. 710 HARRY KESTEN AND VLADAS SIDORAVICIUS (The probability in the last sum is the same in P f as in the original process.) On...

Ngày tải lên: 16/02/2014, 06:20

... since the claim for general M then follows from the principle of superposition (exploiting the linearity of the operator (i∂ t + Δ), or equivalently using the Duhamel formula (1.13)) and the triangle ... Strichartz theory in R 1+3 In this section we review some standard (and some slightly less standard) Strichartz estimates in three dimensions, and their application to the...

Ngày tải lên: 16/02/2014, 06:20

... invariant for the counterexamples of [R1] and [T] and a host 1032 ANDREW S. TOMS of others including K-theory with coefficients mod p, the homotopy groups of the unitary group, the stable rank, and all ... topological K 1 and the fact that α induces the identity map on the Elliott invariant force α to induce the identity map at the level of the Hausdorffized algebrai...

Ngày tải lên: 16/02/2014, 06:20

Ngày tải lên: 09/12/2013, 15:15

Ngày tải lên: 10/12/2013, 00:15

Ngày tải lên: 10/12/2013, 00:15