论文题目:Estimates of the gaps between consecutive eigenvalues of Laplacian
论文作者:Daguang Chen, Tao Zheng, Hongcang Yang(杨洪苍)
文章介绍:By the calculation of the gap of the consecutive eigenvalues of Sn with standard metric, using the Weyl's asymptotic formula, we know the order of the upper bound of this gap is k1n. We conjecture that this order is also right for general Dirichlet problem of the Laplace operator, which is optimal if this conjecture holds, obviously. In this paper, using new method, we solve this conjecture in the Euclidean space case intrinsically. We think our method is valid for the case of general Riemannian manifolds and give some examples directly.
所属学科:微分几何
所属实验室或研究中心:数学研究所
全文链接: http://arxiv.org/abs/1309.7446