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Trace Asymptotics for Schrdinger Operator on Domains With Fractal Boundaries 被引量:1

Trace Asymptotics for Schrdinger Operator on Domains With Fractal Boundaries
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摘要 We consider the following eigenvalue problem of Schrdinger School of Mathematics and Statistics, Wuhan Univ., Wuhan, Hubei, 430072, P. R. China
作者 余纯
出处 《数学进展》 CSCD 北大核心 2003年第4期503-505,共3页 Advances in Mathematics(China)
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  • 1Gelfand I M, Levitan B M. On a simple identity for the characteristic values of a differential operator of the second order [J]. (Russian.) D. A. N., 1953, 88: 593-596.
  • 2Cao Cewen. On the asymptotic estimation of the trace of a partial differential operator [J]. Scientia Sinica,Specia, Issue II, 1979, 56-68.
  • 3Seeley R T. An estimate near the boundary for the spectral function of the Laplace operator [J]. Amer. J.Math., 1980, 102: 869-902.
  • 4Ivrii V Js. Second term of the spectral asymptotic expansion of the Lsplace-Beltrami operator on manifolds with boundary [J]. Functional Anal. Appl., 1980, 14: 98-106.
  • 5Chen Hua, Sleeman B D. Fractal drums and n-dimensional modified Weyl-Berry conjecture [J]. Comm.Math. Phys., 1995, 168: 581-607.
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