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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 228, Pages 10–19
DOI: https://doi.org/10.36535/0233-6723-2023-228-10-19 (Mi into1223) 		 
Dirichlet problem on the semiaxis for the abstract Euler–Poisson–Darboux equation containing powers of the group generator

A. V. Glushak

National Research University "Belgorod State University"
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DOI: https://doi.org/10.36535/0233-6723-2023-228-10-19
Abstract: 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.
Keywords: abstract Euler–Poisson–Darboux equation, degrees of an unbounded operator, Dirichlet problem, unique solvability
Document Type: Article
UDC: 517.983.23
MSC: 34G10
Language: Russian
Citation: A. V. Glushak, “Dirichlet problem on the semiaxis for the abstract Euler–Poisson–Darboux equation containing powers of the group generator”, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 10–19
Citation in format AMSBIB
\Bibitem{Glu23}
\by A.~V.~Glushak
\paper Dirichlet problem on the semiaxis for the abstract Euler--Poisson--Darboux equation containing powers of the group generator
\inbook Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 228
\pages 10--19
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1223}
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