Abstract:
A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a generalized solution is proved, and estimates are obtained.
Citation:
O. V. Solonukha, “On solvability of a linear parabolic problem with nonlocal boundary conditions”, Dedicated to the memory of Professor N. D. Kopachevsky, CMFD, 67, no. 2, PFUR, M., 2021, 349–362
\Bibitem{Sol21}
\by O.~V.~Solonukha
\paper On solvability of a linear parabolic problem with nonlocal boundary conditions
\inbook Dedicated to the memory of Professor N. D. Kopachevsky
\serial CMFD
\yr 2021
\vol 67
\issue 2
\pages 349--362
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd422}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-2-349-362}
Linking options:
https://www.mathnet.ru/eng/cmfd422
https://www.mathnet.ru/eng/cmfd/v67/i2/p349
This publication is cited in the following 4 articles:
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