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First Eigenvalue of One-dimensional Diffusion Processes


 
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1. Title Title of document First Eigenvalue of One-dimensional Diffusion Processes
 
2. Creator Author's name, affiliation, country Jian Wang; School of Mathematics and Computer Science, Fujian Normal University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) First Dirichlet eigenvalue, Hardy inequality, variational formula, transience, recurrence, diffusion operators
 
3. Subject Subject classification 60J25, 60J27
 
4. Description Abstract We consider the first Dirichlet eigenvalue of diffusion operators on the half line. A criterion for the equivalence of the first Dirichlet eigenvalue with respect to the maximum domain and that to the minimum domain is presented. We also describle the relationships between the first Dirichlet eigenvalue of transient diffusion operators and the standard Muckenhoupt's conditions for the dual weighted Hardy inequality. Pinsky's result [17] and Chen's variational formulas [8] are reviewed, and both provide the original motivation for this research.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-05-24
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1464
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1464
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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