Abstract
The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by
For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
where d/dn indicates differentiation in the direction of the exterior normal to ∂Ω.
([2], [6], [11], [13], [14], [14], [23], [26])
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© 1978 Springer-Verlag New York Inc.
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John, F. (1978). The Laplace equation. In: Partial Differential Equations. Applied Mathematical Sciences, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0059-5_4
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DOI: https://doi.org/10.1007/978-1-4684-0059-5_4
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