On eigenvalues of spherical fractal drums
On eigenvalues of spherical fractal drums
摘要
We will give better estimates of a kind of nonisotropic fractal drum.
We will give better estimates of a kind of nonisotropic fractal drum.
基金
This work was supported by the National Natural Science Foundation of China (Grant Nos. 10041005 & 10171045).
参考文献5
-
1Bernd Carl,Hans Triebel.Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces[J].Mathematische Annalen.1980(2)
-
2Retherford,J. R.Hilbert Space: Compact Operators and the Trace Theorem, Cambridge: Cambridge Univ[]..1993
-
3Hata,M.On the Hausdorff dimension of spherical limit sets, J.Math[].Kyoto University Economic Review.1986
-
4Beardon,A.F.On the Hausdorff dimension of general Cantor sets, Proc.Camb[].Phil Soc.1965
-
5Falconer,K. J.The Geometry of Fracta[]..1985
