## Electronic Journal of Probability

### Boundary Conditions for One-Dimensional Biharmonic Pseudo Process

Kunio Nishioka

#### 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.

#### Article information

Source
Electron. J. Probab., Volume 6 (2001), paper no. 13, 27 pp.

Dates
Accepted: 21 May 2001
First available in Project Euclid: 19 April 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1461097643

Digital Object Identifier
doi:10.1214/EJP.v6-86

Mathematical Reviews number (MathSciNet)
MR1844510

Zentralblatt MATH identifier
0978.60087

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

#### Citation

Nishioka, Kunio. Boundary Conditions for One-Dimensional Biharmonic Pseudo Process. Electron. J. Probab. 6 (2001), paper no. 13, 27 pp. doi:10.1214/EJP.v6-86. https://projecteuclid.org/euclid.ejp/1461097643

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