Ill-posed initial-boundary value problem for a high-order mixed-type equation
Ill-posed initial-boundary value problem for a high-order mixed-type equation
Siberian Electronic Mathematical Reports, 22, 1, pp. 179-190 (2025)
Abstract:
This work is devoted to the study of an ill-posed boundary value problem for an inhomogeneous high-order mixed-type equation. An a priori estimate of the solution is obtained depending on the initial data. The uniqueness and conditional stability of the solution are proved.
Keywords: mixed-type equation, ill-posed problem, a priori estimate, uniqueness, stability, set of correctness