TY - JOUR AU - B. Palczewski TI - Existence and uniqueness of solutions of the Darboux problem for the equation ${∂^3u \over ∂x_1 ∂x_2 ∂x_3} = {f(x_1, x_ 2, x_ 3, u, {∂u \over ∂x_1}, {∂u \over ∂x_2}, {∂u \over ∂x_3}, {∂^2u \over ∂x_1 ∂x_2}, {∂^2u \over ∂x_1, ∂x_3}, {∂^2u \over ∂x_2 ∂x_3}) JO - Annales Polonici Mathematici PY - 1963 SP - 267 EP - 277 VL - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-13-3-267-277/ DO - 10.4064/ap-13-3-267-277 LA - en ID - 10_4064_ap_13_3_267_277 ER -