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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 237, Pages 3–9
DOI: https://doi.org/10.36535/2782-4438-2024-237-3-9 (Mi into1320) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution

A. S. Bondarev, A. A. Petrova, O. M. Pirovskikh

Voronezh State University
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DOI: https://doi.org/10.36535/2782-4438-2024-237-3-9
Abstract: In a separable Hilbert space, a parabolic equation with a special time-weighted integral condition is considered. Conditions are obtained under which the solution to the problem is more smooth than a weak solution, the existence and uniqueness of which was proved earlier.
Keywords: parabolic equation, nonlocal-in-time condition, smooth solvability, generalized solvability
Document Type: Article
UDC: 517.954
MSC: 58D25, 35Kxx
Language: Russian
Citation: A. S. Bondarev, A. A. Petrova, O. M. Pirovskikh, “On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 237, VINITI, Moscow, 2024, 3–9
Citation in format AMSBIB
\Bibitem{BonPetPir24}
\by A.~S.~Bondarev, A.~A.~Petrova, O.~M.~Pirovskikh
\paper On the solvability of a variational parabolic equation with a nonlocal-in-time condition on the solution
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXV", Voronezh, April 26-30, 2024, Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 237
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1320}
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