On a nonclassical boundary balue problem for the Laplace equation in a cracked domain
Analysis of PDEs
2025-12-16 v2
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.
Keywords
Cite
@article{arxiv.2412.10171,
title = {On a nonclassical boundary balue problem for the Laplace equation in a cracked domain},
author = {Mykola Krasnoshchok},
journal= {arXiv preprint arXiv:2412.10171},
year = {2025}
}