@inbook{c9e38ff3ed4e4d3ea9794f6bf0dc828d,
title = "A Boundary-Domain Integral Equation Method for an Elliptic Cauchy Problem with Variable Coefficients",
abstract = "We consider an integral based method for numerically solving the Cauchy problem for second-order elliptic equations in divergence form with spacewise dependent coefficients. The solution is represented as a boundary-domain integral, with unknown densities to be identified. The given Cauchy data is matched to obtain a system of boundary-domain integral equations from which the densities can be constructed. For the numerical approximation, an efficient Nystr{\"o}m scheme in combination with Tikhonov regularization is presented for the boundary-domain integral equations, together with some numerical investigations.",
author = "Andriy Beshley and Roman Chapko and Johansson, {B. Tomas}",
year = "2019",
month = apr,
day = "30",
doi = "10.1007/978-3-030-04459-6_47",
language = "English",
isbn = "978-3-030-04458-9",
series = "Trends in Mathematics",
publisher = "Springer",
pages = "493--501",
editor = "{Lindahl }, K. and T. Lindstr{\"o}m and L. Rodino and J. Toft and P. Wahlberg",
booktitle = "Trends in Mathematics",
address = "Germany",
}