Yu. A. Rozanov, F. Sansò, “On stochastic boundary problems for harmonic functions in Banach spaces”, Teor. Veroyatnost. i Primenen., 1999, Volume 44, Issue 1,Pages <nobr>123

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Short Communications

On stochastic boundary problems for harmonic functions in Banach spaces

Yu. A. Rozanov^a, F. Sansò^b

^a IAMI-CNR, Italia
^b Politechnico di Milano, Italia

Abstract: 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.

DOI: 10.4213/tvp604