Geodesic
On stochastic boundary problems for harmonic functions in Banach spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 123-128

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The problem is to determine harmonic function in a region $G\subset\mathbf{R}^d$ by means of very chaotic (stochastic) boundary data. A general functional approach to this problem is suggested.
Keywords: Banach superspaces, generalized Laplace equation, generalized boundary values. 
@article{TVP_1999_44_1_a10,
     author = {Yu. A. Rozanov and F. Sans\`o},
     title = {On stochastic boundary problems for harmonic functions in {Banach} spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {123--128},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a10/}
}
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Yu. A. Rozanov; F. Sansò. On stochastic boundary problems for harmonic functions in Banach spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 1, pp. 123-128. http://geodesic.mathdoc.fr/item/TVP_1999_44_1_a10/