, satisfies the condition

Here is an arbitrary point in the domain in which equation is defined. If the functions and are continuous, then the Riemann function exists and is, with respect to the variables and , the solution of .

The solution of Goursat's problem for equation is given by the Riemann formula. If , it has the form:

It follows from Riemann's formula that at any , the solution value depends only on the value of the given functions in the characteristic quadrilateral , . If , this value depends

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