Publication Cover
Applicable Analysis
An International Journal
Volume 16, 1983 - Issue 4
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Original Articles

Derivative estimates for eigenfunctions with accessible boundaries and application to diffustions

Pages 329-344 | Published online: 02 May 2007

References

  • Abramowicz , M. and Stegun , I.A. 1972 . Handbook of Mathematical Functions , New York : Dover .
  • Breiman , L. 1968 . Probability , Mass : Wesley Inc .
  • Elliott , J. 1955 . Eigenfunction Expansions Associated with Singular Differential Operators . Trans. AMS , 78 : 406 – 525 .
  • Feller , W. 1952 . The Parabolic Differential Equations and the Associated Semigroups of Transformations . Ann. Math , 55 : 468 – 519 .
  • Halvorsen S.G. private communication
  • Hartman , P. 1964 . Ordinary Differential Equations , New York : Wiley .
  • Karlin , S. and Taylor , H.M. 1981 . A Second Course in Stochastic Processes , New York : Academic Press .
  • Lazetic , N. 1979 . Uniform Estimates for the First Derivatives of Eigenfunctions of the Sturm-Liouville Operator with Potential of Class lA . Soviet Math. Dokl , 20 : 1419 – 1420 .

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