Problem with an Analog of the Frankl Condition on the Boundary Characteristic and General Transmission Conditions on the Degeneration Segment for a Class of Mixed Type Equations

详细

We prove existence and uniqueness theorems for a boundary value problem for the equation (sgn y)|y|^mu_xx + u_yy — (m/2y)u_y = 0 in a mixed domain with an analog of the Frankl condition on the boundary characteristic and general transmission conditions on the degeneration segment.