Geodesic
Dirichlet problem on the semiaxis for the abstract Euler--Poisson--Darboux equation containing powers of the group generator
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Tome 228 (2023), pp. 10-19.

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For the abstract Euler–Poisson–Darboux equation containing powers of an unbounded operator, sufficient conditions for the unique solvability of the Dirichlet problem on the semiaxis are obtained.
Mots-clés : abstract Euler–Poisson–Darboux equation
Keywords: degrees of an unbounded operator, Dirichlet problem, unique solvability 
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A. V. Glushak. Dirichlet problem on the semiaxis for the abstract Euler--Poisson--Darboux equation containing powers of the group generator. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Tome 228 (2023), pp. 10-19. http://geodesic.mathdoc.fr/item/INTO_2023_228_a1/

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