Mikheil Usanetashvili

On the Problem with a Sloping Derivative for a Mixed Type Equation in the Case of a Two-Dimensional Degeneration Domain

The paper considers a mixed type equation when the parabolic degeneration is two-dimensional. For this equation we study the problem with a sloping derivative and show that this problem is Noetherian.

Mathematics Subject Classification: 35J70

Key words and phrases: Problem with a sloping derivative, integral equation with Cauchy kernel, mixed type equation