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Boundary Conditions for One-Dimensional Biharmonic Pseudo Process


 
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1. Title Title of document Boundary Conditions for One-Dimensional Biharmonic Pseudo Process
 
2. Creator Author's name, affiliation, country Kunio Nishioka; Tokyo Metropolitan University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Boundary conditions for biharmonic pseudo process,killing, reflection, stopping
 
3. Subject Subject classification Primary. 60J50; Secondary. 35K35, 60G18, 60G20, 60J30
 
4. Description Abstract We study boundary conditions for a stochastic pseudo processes corresponding to the biharmonic operator. The biharmonic pseudo process (BPP for short). is composed, in a sense, of two different particles, a monopole and a dipole. We show how an initial-boundary problems for a 4-th order parabolic differential equation can be represented by BPP with various boundary conditions for the two particles: killing, reflection and stopping.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-05-21
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/86
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-86
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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