Geodesic
Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2022), pp. 62-75.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 uniqueness and conditional stability of the solution on the set of well-posedness of the problem under study are proved.
Keywords: boundary value problem, system of mixed type equations, ill-posed problem, a priori estimate, estimate of conditional stability, uniqueness, set of correctness. 
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K. S. Fayazov; I. O. Khajiev. Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2022), pp. 62-75. http://geodesic.mathdoc.fr/item/IVM_2022_2_a4/

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