Geodesic
The problem of pasting together two diffusion processes and classical potentials
Teoriâ slučajnyh processov, Tome 15 (2009) no. 2, pp. 126-139

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The paper is a survey of some analytical methods for constructing a diffusion process in ${\mathbb R}^d$ that is a result of pasting together two diffusion processes. It is an exposition in written of a lecture that the authors delivered at one of the plenary sessions of the Conference “Stochastic analysis and random dynamics” which held in Lviv, June 14–20, 2009.
Keywords: stochastic differential equation, single-layer potentials, martingale problem.
Mots-clés : Diffusion processes 
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     title = {The problem of pasting together two diffusion processes and classical potentials},
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Bohdan I.Kopytko; Mykola I. Portenko. The problem of pasting together two diffusion processes and classical potentials. Teoriâ slučajnyh processov, Tome 15 (2009) no. 2, pp. 126-139. http://geodesic.mathdoc.fr/item/THSP_2009_15_2_a8/