Geodesic
Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration
Matematičeskie zametki, Tome 112 (2022) no. 6, pp. 825-838

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The paper deals with the solvability analysis of boundary value problems for degenerate higher-order quasi-hyperbolic equations. The problems in question have the specific feature that the manifolds on which the equations characteristically degenerate are not freed from carrying boundary data. The aim of this paper is to prove the existence and uniqueness of regular solutions of the problems under study, that is, solutions all of whose generalized derivatives occurring in the corresponding equations exist as generalized derivatives in the sense of Sobolev.
Keywords: quasi-hyperbolic equation, degeneration, boundary value problem, regular solution, uniqueness.
Mots-clés : existence 
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     author = {A. I. Kozhanov and N. R. Spiridonova},
     title = {Boundary {Value} {Problems} for {Quasi-Hyperbolic} {Equations} with {Degeneration}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {825--838},
     publisher = {mathdoc},
     volume = {112},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_6_a3/}
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A. I. Kozhanov; N. R. Spiridonova. Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration. Matematičeskie zametki, Tome 112 (2022) no. 6, pp. 825-838. http://geodesic.mathdoc.fr/item/MZM_2022_112_6_a3/