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Boundary Conditions for One-Dimensional Biharmonic Pseudo Process

  
@article{EJP86,
	author = {Kunio Nishioka},
	title = {Boundary Conditions for One-Dimensional Biharmonic Pseudo Process},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {6},
	year = {2001},
	keywords = {Boundary conditions for biharmonic pseudo process,killing, reflection, stopping},
	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.},
	pages = {no. 13, 1-27},
	issn = {1083-6489},
	doi = {10.1214/EJP.v6-86},    
        url = {http://ejp.ejpecp.org/article/view/86}}