Conditional Correctness of the Initial-Boundary Value Problem for a System of High-Order Mixed-Type Equations

We investigate an ill-posed boundary value problem for a differential equation and a system of high-order partial differential equations with one line of degeneration. An a priori estimate of the solution is obtained by the method of logarithmic convexity. Theorems of the uniqueness and conditional stability of the solution on the set of well-posedness of the problem under study are proved.

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