Maslyuchenko, V.K.; Mykhaylyuk, V.V.
(Журнал математической физики, анализа, геометрии, 2008)
It is proved that a differentiable with respect to each variable function f : R2 → R is a solution of the equation ∂u/∂x + ∂u/∂y = 0 if and only if there exists a function φ : R → R such that f(x, y) = φ(x - y). This gives ...