搜索结果: 1-4 共查到“数学 Hausdorff measure”相关记录4条 . 查询时间(0.125 秒)
Growth rates, Hausdorff measure and stability for the p-obstacle problem(3/2≤p≤2)
growth rate Hausdorff measure obstacle problem stability
font style='font-size:12px;'>
2011/10/17
In this paper, we consider the free boundary for the inho-mogeneous obstacle problem with zero obstacle. We firstly establish the growth rates for the solution u(x) and the gradient of u(x), awa...
An algorithm for computing the centered Hausdorff measure of self-similar sets
centered Hausdorff measure self-similar sets computability of fractal measures
font style='font-size:12px;'>
2011/9/15
Abstract: We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its u...
Lower bounds on the Hausdorff measure of nodal sets
Lower bounds Hausdorff measure of nodal sets
font style='font-size:12px;'>
2010/12/8
Let N' be the nodal hypersurface of a -eigenfunction ' of eigenvalue 2on a smooth Riemannian manifold. We prove that Hn−1(N') ≥ C7 4− 3n 4 on the surface measure of its nodal set. Th...
Hausdorff measure on o-minimal structures
Hausdorff measure o-minimal structures
font style='font-size:12px;'>
2010/11/12
We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every defina...