On the solution of the Dirichlet problem for the two-dimensional Laplace equation

Constanda, Christian

doi:10.1090/S0002-9939-1993-1157999-4

On the solution of the Dirichlet problem for the two-dimensional Laplace equation
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Proc. Amer. Math. Soc. 119 (1993), 877-884 Request permission

Abstract:

The solution of the Dirichlet problem for the two-dimensional Laplace equation is obtained as a modified single layer potential by a method applicable even when the logarithmic capacity of the boundary curve is equal to $1$.

References

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