期刊文献+

L^1-uniqueness of Sturm-Liouville operators 被引量:1

L^1-uniqueness of Sturm-Liouville operators
原文传递
导出
摘要 In this paper, we give two sufficient and necessary conditions for the L1-uniqueness of one-dimensional Sturm-Liouville operator Lf = af″ + bf′- V f, f∈D = C 0 ∞ (I), where I is an open interval of R and V≥0. In this paper, we give two sufficient and necessary conditions for the L1-uniqueness of one-dimensional Sturm-Liouville operator Lf = af″ + bf′- V f, f∈D = C 0 ∞ (I), where I is an open interval of R and V≥0.
出处 《Science China Mathematics》 SCIE 2010年第1期173-178,共6页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No.10926120, 10626041)
关键词 STURM-LIOUVILLE OPERATORS L1-uniqueness Sturm-Liouville operators L1-uniqueness
  • 相关文献

参考文献12

  • 1Wu Liming.Uniqueness of Nelsons diffusions[J]. Probability Theory and Related Fields . 1999 (4)
  • 2Djellout H.Lp -uniqueness for one-dimensional diffusions. . 1997
  • 3Wu L.Uniqueness of Schdinger operateurs restricted to a domain. Journal of Functional Analysis . 1998
  • 4Wu L,Zhang Y P.A new topological approach to the L ∞ -uniqueness of operators and the L 1 -uniqueness of Fokker- Planck equations. Journal of Functional Analysis . 2006
  • 5Ikeda N,Watanabe S.Stochastic Differential Equations and Diffusion Processes. . 1981
  • 6Rainer Nagel.One-Parameter Semigroups of Positive Operators. Lecture Notes in Mathematics . 1986
  • 7Davies,E. B.1L-properties of second-order elliptic operators. Bulletin of the London Mathematical Society . 1985
  • 8Eberle,A.Uniqueness and non-uniqueness for singular diffusion operators. Lecture Notes in Math, vol.?1718 . 1999
  • 9Feller,W.The parabolic differential equation and the associated semi-group of transformations. Annals of Mathematics . 1952
  • 10Feller,W.Semigroups of transformations in general weak topologies. Annals of Mathematics . 1953

同被引文献13

引证文献1

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部