On the Asymptotic Behaviour of a Diffusion Process with Singular Drift
Keyword(s):
We discuss some peculiar features of the diffusion process whose characterization is given below. Let D be a bounded domain in the d-dimensional Euclidean space Ed with a smooth boundary ∂D. The domain D contains open balls (i = 1, · · ·, n) which are mutually disjoint. Our process is a diffusion process on the state space D ∪ ∂D which is locally equivalent to the Brownian motion except on the spheres ∂ and the boundary ∂D. By a diffusion process we mean a continuous strong Markov process. As to the terminology about Markov processes we refer to [2].
1973 ◽
Vol 10
(04)
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pp. 847-856
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2008 ◽
Vol 11
(01)
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pp. 21-31
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2014 ◽
Vol 46
(3)
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pp. 622-642
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1978 ◽
Vol 83
(1)
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pp. 83-90
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Keyword(s):
2014 ◽
Vol 46
(03)
◽
pp. 622-642
◽