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21.
Xiong Jin 《Advances in Mathematics》2011,(6):4987
With the “iso-Hölder” sets of a function we naturally associate subsets of the graph and the range of the function. We compute the Hausdorff dimension of these subsets for a class of statistically self-similar multifractal functions, namely the b-adic independent cascade functions. 相似文献
22.
Yoshihiko Yamaura 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7168-7183
The present paper shows Hölder continuity of discrete Morse flows to a regularized Alt–Caffarelli variational functional generating free boundaries; the continuity is uniform with respect to the discrete Morse flows and the regularizations. The uniformity enables to construct Morse flows to the Alt–Caffarelli functional, which shall be dealt with in another paper. 相似文献
23.
24.
Andreas Juhl 《Advances in Mathematics》2011,(4):3409
We extend the holographic formula for the critical Q-curvature in Graham and Juhl (2007) [9] to all Q-curvatures. Moreover, we confirm a conjecture of Juhl (2009) [11]. 相似文献
25.
The homotopy limit problem for Karoubi?s Hermitian K-theory (Karoubi, 1980) [26] was posed by Thomason (1983) [44]. There is a canonical map from algebraic Hermitian K-theory to the Z/2-homotopy fixed points of algebraic K-theory. The problem asks, roughly, how close this map is to being an isomorphism, specifically after completion at 2. In this paper, we solve this problem completely for fields of characteristic 0 (Theorems 16, 20). We show that the 2-completed map is an isomorphism for fields F of characteristic 0 which satisfy cd2(F[i])<∞, but not in general. 相似文献
26.
Safia Haloui 《Journal of Number Theory》2010,130(12):2745-2752
We describe the set of characteristic polynomials of abelian varieties of dimension 3 over finite fields. 相似文献
27.
Thomas Strömberg 《Indagationes Mathematicae》2009,20(4):619-629
The subject of this paper is the generation of singularities of solutions of Hamilton-Jacobi equations set in (0, ∞) × ? fordataofclass C∞. Shockwaves originate from conjugate points. To show sharpness of a known Hausdorff estimate, an example is given in which the set of conjugate, regular points includes uncountably many affine subspaces of dimension n − 1. 相似文献
28.
29.
Alexis F. Vasseur 《NoDEA : Nonlinear Differential Equations and Applications》2007,14(5-6):753-785
In this paper we give a new proof of the partial regularity of solutions to the incompressible Navier-Stokes equation in dimension
3 first proved by Caffarelli, Kohn and Nirenberg. The proof relies on a method introduced by De Giorgi for elliptic equations.
This work was supported in part by NSF Grant DMS-0607953. 相似文献
30.
J.-B. Gatsinzi 《Journal of Pure and Applied Algebra》1997,120(3):167-289
Let X be a 1-connected CW-complex of finite type and Lx its rational homotopy Lie algebra. In this work, we show that there is a spectral sequence whose E2 term is the Lie algebra ExtULx(Q, Lx), and which converges to the homotopy Lie algebra of the classifying space B autX. Moreover, some terms of this spectral sequence are related to derivations of Lx and to the Gottlieb group of X. 相似文献