@article{10_4064_ap_13_3_267_277, author = {B. Palczewski}, title = {Existence and uniqueness of solutions of the {Darboux} problem for the equation ${\ensuremath{\partial}^3u \over \ensuremath{\partial}x_1 \ensuremath{\partial}x_2 \ensuremath{\partial}x_3} = {f(x_1, x_ 2, x_ 3, u, {\ensuremath{\partial}u \over \ensuremath{\partial}x_1}, {\ensuremath{\partial}u \over \ensuremath{\partial}x_2}, {\ensuremath{\partial}u \over \ensuremath{\partial}x_3}, {\ensuremath{\partial}^2u \over \ensuremath{\partial}x_1 \ensuremath{\partial}x_2}, {\ensuremath{\partial}^2u \over \ensuremath{\partial}x_1, \ensuremath{\partial}x_3}, {\ensuremath{\partial}^2u \over \ensuremath{\partial}x_2 \ensuremath{\partial}x_3})}, journal = {Annales Polonici Mathematici}, pages = {267--277}, publisher = {mathdoc}, volume = {13}, number = {3}, year = {1963}, doi = {10.4064/ap-13-3-267-277}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-13-3-267-277/} }