Green function of the dirichlet problem for the Laplacian and Inhomogeneous boundary value problems for the poisson equation in a punctured domain

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Abstract

The aim of this work is to present a new definition of the Green function of the Dirichlet problem for the Laplace equation prompted by the theory of ordinary differential equations and investigate correctly solvable boundary value problems for the Poisson equation in a punctured domain.

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Kanguzhin, B., & Tokmagambetov, N. (2015). Green function of the dirichlet problem for the Laplacian and Inhomogeneous boundary value problems for the poisson equation in a punctured domain. In Trends in Mathematics (Vol. 2, pp. 49–57). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_8

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