The Boundary Value Problem for a Static 2D Klein--Gordon Equation in the Infinite Strip and in the Half-Plane

Dmitry Muravey

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arXiv · 1504.02428

The Boundary Value Problem for a Static 2D Klein--Gordon Equation in the Infinite Strip and in the Half-Plane

Dmitry Muravey

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Abstract

We provide explicit formulas for the Green function of an elliptic PDE in the infinite strip and the half-plane. They are expressed in elementary and special functions. Proofs of uniqueness and existence are also given.

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Dmitry Muravey. 2015-04-08. The Boundary Value Problem for a Static 2D Klein--Gordon Equation in the Infinite Strip and in the Half-Plane. https://arxiv.org/abs/1504.02428

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