Seminars: A. V. Aksenov, The invariance property of the Riemann function and a method of its construction

SEMINARS


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
Abstract: B. Riemann suggested "the Riemann principle of integrating" as applied to a hyperbolic second-order 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.