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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 6, Pages 987–999
DOI: https://doi.org/10.31857/S0044466923060029 (Mi zvmmf11572) 		 
Partial Differential Equations

On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source

V. E. Admasu

RUDN University, 117198, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466923060029
Abstract: The paper proves the absence of solutions of semilinear parabolic inequalities and higher order systems with a singular potential and nonlocal sources. The proofs are based on the test function method developed by E. Mitidieri and S.I. Pokhozhaev.
Key words: singular potential, nonlocal source, test function method.
Funding agency Grant number
RUDN University Strategic Academic Leadership Program
This work was carried out as part of the Strategic Academic Leadership Program of the RUDN University.
Received: 15.11.2021
Revised: 19.02.2023
Accepted: 02.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 6, Pages 1052–1063
DOI: https://doi.org/10.1134/S0965542523060027
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
Language: Russian
Citation: V. E. Admasu, “On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 987–999; Comput. Math. Math. Phys., 63:6 (2023), 1052–1063
Citation in format AMSBIB
\Bibitem{Adm23}
\by V.~E.~Admasu
\paper On the absence of weak solutions of nonlinear nonnegative higher order parabolic inequalities with a nonlocal source
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 6
\pages 987--999
\mathnet{http://mi.mathnet.ru/zvmmf11572}
\crossref{https://doi.org/10.31857/S0044466923060029}
\elib{https://elibrary.ru/item.asp?id=53836701}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 6
\pages 1052--1063
\crossref{https://doi.org/10.1134/S0965542523060027}
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