Integral form of the generalized solution of a Darboux-Goursat problem with third-type boundary condition
Integral form of the generalized solution of a Darboux-Goursat problem with third-type boundary condition
In the present paper we study a Darboux-Goursat problem for a hyperbolic equation with a singular coefficient, where a third-type boundary condition on the non-characteristic segment is imposed. This problem is related to a four-dimensional Protter's problem for the wave equation and it has an unique generalized solution with possible …