Gardiner, Stephen J.; Sjödin, Tomas Partial balayage and the exterior inverse problem of potential theory. (English) Zbl 1199.31009 Bakry, D. (ed.) et al., Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Bucharest: Theta (ISBN 978-973-87899-5-1). Theta Series in Advanced Mathematics 11, 111-123 (2009). Summary: This paper presents a concise account of partial balayage and how it has recently been used to make progress on the exterior inverse problem of potential theory. It also includes a new proof of the singularity of harmonic measure with respect to Lebesgue measure and a general version of the Hele-Shaw law for fluid flow.For the entire collection see [Zbl 1170.60002]. Cited in 9 Documents MSC: 31B20 Boundary value and inverse problems for harmonic functions in higher dimensions Keywords:potentials; partial balayage; harmonic measure; Hele-Shaw flow; inverse problem PDFBibTeX XMLCite \textit{S. J. Gardiner} and \textit{T. Sjödin}, Theta Ser. Adv. Math. 11, 111--123 (2008; Zbl 1199.31009)