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

We prove existence and uniqueness theorems for a boundary value problem for the equation (sgn y )| y | m u xx + u yy — ( m /2 y ) 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.

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