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Boundary value problems for second-order partial differential equations

In: Application of Holomorphic Functions in Two and Higher Dimensions

Author

Listed:
  • Klaus Gürlebeck

    (Bauhaus-Universität Weimar)

  • Klaus Habetha

    (RWTH Aachen)

  • Wolfgang Sprößig

    (TU Bergakademie Freiberg)

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.

Suggested Citation

  • Klaus Gürlebeck & Klaus Habetha & Wolfgang Sprößig, 2016. "Boundary value problems for second-order partial differential equations," Springer Books, in: Application of Holomorphic Functions in Two and Higher Dimensions, chapter 0, pages 203-264, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0964-1_7
    DOI: 10.1007/978-3-0348-0964-1_7
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