Tricomi problem for an elliptic-hyperbolic equation of the second kind

N. K. Mamadaliev

Tashkent Institute of Irrigation and Melioration, M. Ulugbek region, 39 Kori-Niyaziy Str., 100000, Tashkent, Republic of Uzbekistan

Abstract: Unique solvability of the Triсomi problem for an elliptic-hyperbolic equation of the second kind is proved with the help of the representation of the generalized solution to a hyperbolic equation with strong degeneration.

Keywords and phrases: Tricomi problem, elliptic-hyperbolic equation of the second type, generalized solutions of the class $R_2$.

MSC: 35M10

Received: 26.10.2010

Language: English