

Cohomological geometry of differential equations
March 27, 2019 19:20, Moscow, Independent University of Moscow, room 308






The invariance property of the Riemann function and a method of its construction
A. V. Aksenov^{} 
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Abstract:
B. Riemann suggested "the Riemann principle of integrating" as applied to a hyperbolic secondorder partial equation in two independent variables. In order to apply the method it is necessary to construct Riemann function that is a solution of Cauchy special characteristic problem. General method for Riemann function construction doesn't exist. We show the Riemann function is invariant with respect to the fundamental solutions symmetries and suggest a method for its construction.

