@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",

}