Boundary value problems for second-order partial differential equations

Klaus Gürlebeck, Klaus Habetha and Wolfgang Sprößig
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Klaus Gürlebeck: Bauhaus-Universität Weimar
Klaus Habetha: RWTH Aachen
Wolfgang Sprößig: TU Bergakademie Freiberg

Chapter Chapter 7 in Application of Holomorphic Functions in Two and Higher Dimensions, 2016, pp 203-264 from Springer

Abstract: Abstract In 1812 D. Poisson discovered that for many applied problems the Laplace equation is only valid outside the relevant domain G. In the journal Bulletin de la Societé Philosphique he published one year later the first paper on an equation of the type $$-\Delta u\;=\;f \quad \mathrm{in} \;G\;\subset\;I\!\!R^n ,$$ which now bears his name.

Keywords: Harmonic Function; Holomorphic Function; Dirac Operator; Linear Elasticity; Helmholtz Equation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0964-1_7

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DOI: 10.1007/978-3-0348-0964-1_7

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