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arXiv · 2002.12129

Green function solution of generalised boundary value problems

Vanik E. Mkrtchian·Carsten Henkel
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Abstract

We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal, and linear boundary conditions. The construction generally applies for all types of linear partial differential equations and linear boundary conditions.

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Vanik E. Mkrtchian, Carsten Henkel. 2020-02-25. Green function solution of generalised boundary value problems. https://doi.org/10.1016/j.physleta.2020.126573

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