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

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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. 
@article{IVM_2022_2_a4,
     author = {K. S. Fayazov and I. O. Khajiev},
     title = {Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {62--75},
     publisher = {mathdoc},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_2_a4/}
}
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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/