On correct solvability of a Dirichlet problem for generalized Manjeron equation with non-smooth coefficients
Analysis of PDEs
2013-12-13 v1
Abstract
In the paper obtained equivalent system of Fredholm integral equations in the study of the Dirichlet problem for the generalized Manjeron equation with non-smooth coefficients in non-classical treatment (1), (4). When non-smooth conditions on the coefficients of the equation in a rectangular region for this problem posed are found correct solvability conditions in integral form based on the method of integral representations.
Cite
@article{arxiv.1312.3318,
title = {On correct solvability of a Dirichlet problem for generalized Manjeron equation with non-smooth coefficients},
author = {Ilgar G. Mamedov},
journal= {arXiv preprint arXiv:1312.3318},
year = {2013}
}