On the stable approximate solution of the ill-posed boundary value problem for the Laplace equation with homogeneous conditions of the second kind on the edges at inaccurate data on the approximated boundary

In this paper, we consider the ill-posed continuation problem for harmonic functions from an ill-defined boundary in a cylindrical domain with homogeneous boundary conditions of the second type on the side faces. The value of the function and its normal derivative (Cauchy conditions) is known approx...

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Bibliographic Details

Published in:	Discrete and continuous models and applied computational science Vol. 33; no. 1; pp. 57 - 73
Main Authors:	Laneev, Evgeniy B., Klimishin, Alexander V.
Format:	Journal Article
Language:	English
Published:	Peoples’ Friendship University of Russia (RUDN University) 15.06.2025
Subjects:	cauchy problem for the laplace equation ill-posed problem integral equation of the first kind tikhonov regularization method
ISSN:	2658-4670, 2658-7149
Online Access:	Get full text
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