On a nonclassical boundary balue problem for the Laplace equation in a cracked domain

Mykola Krasnoshchok

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arXiv · 2412.10171

On a nonclassical boundary balue problem for the Laplace equation in a cracked domain

Mykola Krasnoshchok

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Abstract

We consider the Laplace equation in a cracked plane with a nonclassical boundary conditions. This problem arises as a model of the flow in the fractured media. The main result is the theorem of existence and uniqueness of a solution in weighted Sobolev spaces.

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Mykola Krasnoshchok. 2024-12-13. On a nonclassical boundary balue problem for the Laplace equation in a cracked domain. https://arxiv.org/abs/2412.10171

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