The jump problem for the equation of internal waves in a stratified rotating fluid

The boundary value problem for the equation of gravity-inertial waves outside several cuts in a plane is studied. The jump of the unknown function and the jump of the analogue of the Neumann operator acting on this function are specified on the cuts. The problem is studied under different conditions at infinity, which lead to different uniqueness and existence theorems. The solution of this problem is constructed in the explicit form by means of single layer potential and angular potential.