Abstract:
In this article, the methods of «$\epsilon$-regularization» and a priori estimates using the Fourier transform are studied the unique solvability and smoothness of the generalized solution of one semi-nonlocal boundary value problem for the three-dimensional Tricomi equation in an unbounded prismatic domain.
Keywords:Tricomi equation, semi-nonlocal boundary value problem, Fourier transform, «$\epsilon$-regularization» methods and a priori estimates.