Geodesic
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})
Annales Polonici Mathematici, Tome 13 (1963) no. 3, pp. 267-277

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B. Palczewski. 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}). Annales Polonici Mathematici, Tome 13 (1963) no. 3, pp. 267-277. doi: 10.4064/ap-13-3-267-277
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     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},
     year = {1963},
     volume = {13},
     number = {3},
     doi = {10.4064/ap-13-3-267-277},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-13-3-267-277/}
}
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