The Tricomi problem in a class of functions unbounded on the characteristic (Q2387103)

The mixed type equation \[ (\operatorname{sgn}y)u_{xx}+u_{yy}+\frac{2q}{y}+\frac{2p}{y}=0, \] \(p<0;\, p,q\) are real parameters, is considered in a mixed domain \(D\) whose elliptic subdomain \(D_1\) coincides with the entire upper half-plane and the hyperbolic subdomain \(D_2\) is a triangle bounded by the characteristics \(BC: x-y=1;\,AB: x+y=0\) and by the segment \(AC\) of the real axis. The Tricomi problem in the class of functions with singularities on \(BC\) is studied. The authors define conditions which guarantee the existence of a unique solution.