ISSN:
1432-2064
Keywords:
60 J 60
;
60 J 60
;
60 J 65
;
60 J 55
;
60 J 35
;
31 C 25
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary LetG be ad-dimensional bounded Euclidean domain, H1 (G) the set off in L2(G) such that ∇f (defined in the distribution sense) is in L2(G). Reflecting diffusion processes associated with the Dirichlet spaces (H1(G), ℰ) on L2(G, σdx) are considered in this paper, where A=(aij is a symmetric, bounded, uniformly ellipticd×d matrix-valued function such thata ij ∈H1(G) for eachi,j, and σ∈H1(G) is a positive bounded function onG which is bounded away from zero. A Skorokhod decomposition is derived for the continuous reflecting Markov processes associated with (H1(G), ℰ) having starting points inG under a mild condition which is satisfied when ϖG has finite (d−1)-dimensional lower Minkowski content.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01199246
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