Regularization of the boundary value problem for an inhomogeneous high-order parabolic equation with one degeneracy line
In this paper, we study an ill-posed initial-boundary value problem for a high-order inhomogeneous parabolic equation with one degeneracy line. We obtain a priori estimate of the solution of the problem, determine the correctness set, and prove the uniqueness and conditional stability of the solution in this set. As a...