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81.
Peter A. Hästö 《Journal of Mathematical Analysis and Applications》2005,301(2):336-353
In the first part of this investigation we generalized a weighted distance function of R.-C. Li's and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are established. Specifically, isometries and quasiconvexity results are derived. We also illustrate connections between our approach and generalizations of the hyperbolic metric. 相似文献
82.
本文讨论了2m阶双曲型方程具有奇性斜导数的边值问题。在边界奇点(即不满足Lopatinsky边界条件的点)子流形的一定假设下,证明了所论问题在Sobolev空间H~(s,s)(Q)中解的存在性和唯一性,从而将二阶双曲方程的相应问题的已有的结果(例如[1]、[4—6])推广到了高维的情形。 相似文献
83.
John Erik Fornæss 《Mathematische Annalen》2006,334(2):457-464
In this paper we investigate the support of the unique measure of maximal entropy of complex Hénon maps, J*. The main question is whether this set is the same as the analogue of the Julia set J.
July 4, 2005. The author is supported by an NSF grant 相似文献
84.
We describe fractal tessellations of the complex plane that arise naturally from Cannon–Thurston maps associated to complete,
hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations.
To our wives, Ardyth and Elena. 相似文献
85.
本文通过引进新的广义解定义,对一类非线性双曲方程组的二维Cauchy问题,证明了解的存在唯一性.并且,解可能含δ波. 相似文献
86.
H.S. Bear 《Journal of Mathematical Analysis and Applications》2006,318(2):498-506
The Harnack metric is a conformally invariant metric defined in quite general domains that coincides with the hyperbolic metric in the disk. We prove that the Harnack distance is never greater than the hyperbolic distance and if the two distances agree for one pair of distinct points, then either the domain is simply connected or it is conformally equivalent to the punctured disk. 相似文献
87.
Zonglao Zhang 《Journal of Mathematical Analysis and Applications》2005,305(2):491-501
In this paper we investigate the mean curvature H of a radial graph in hyperbolic space Hn+1. We obtain an integral inequality for H, and find that the lower limit of H at infinity is less than or equal to 1 and the upper limit of H at infinity is more than or equal to −1. As a byproduct we get a relation between the n-dimensional volume of a bounded domain in an n-dimensional hyperbolic space and the (n−1)-dimensional volume of its boundary. We also sharpen the main result of a paper by P.-A. Nitsche dealing with the existence and uniqueness of graph-like prescribed mean curvature hypersurfaces in hyperbolic space. 相似文献
88.
89.
In a recent paper [O. Bärwald, R.W. Gebert, M. Günaydin and H. Nicolai, preprint KCL-MTH-97-22, IASSNS-HEP-97/20, PSU-TH-178, AEI-029, hep-th/9703084, to appear in Commun. Math. Phys.] it was conjectured that the imaginary simple roots of the Borcherds algebra II9,1 at level 1 are its only ones. We here propose an independent test of this conjecture, establishing its validity for all roots of norm − 8. However, the conjecture fails for roots of norm −10 and beyond, as we show by computing the simple multiplicities down to norm −24, which turn out to be remarkably small in comparison with the corresponding E10 multiplicities. Our derivation is based on a modified denominator formula combining the denominator formulas for E10 and II9,1, and provides an efficient method for determining the imaginary simple roots. In addition, we compute the E10 multiplicities of all roots up to height 231, including levels up to l = 6 and norms −42. 相似文献
90.
A. Visintin 《Journal of Mathematical Analysis and Applications》2005,312(2):401-419
This paper deals with the Cauchy problem for a quasilinear first-order equation that includes a possibly discontinuous hysteresis operatorF: