Initial boundary value problem for a nonlocal in time parabolic equation Full article
| Journal |
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2018, Volume: 15, Pages: 1311-1319 Pages count : 9 DOI: 10.17377/semi.2018.15.107 | ||
| Tags | Initial boundary value problem; Nonlocal in time parabolic equation; Solvability | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
Abstract:
This paper deals with a quasi-linear parabolic partial differential equation that includes a nonlocal in time term. This term contains the integral of the solution over the entire time interval, where the problem is considered. The weak solvability of the initial boundary value problem for this equation is proven.
Cite:
Starovoitov V.N.
Initial boundary value problem for a nonlocal in time parabolic equation
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.1311-1319. DOI: 10.17377/semi.2018.15.107 WOS Scopus РИНЦ
Initial boundary value problem for a nonlocal in time parabolic equation
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018. V.15. P.1311-1319. DOI: 10.17377/semi.2018.15.107 WOS Scopus РИНЦ
Identifiers:
| Web of science: | WOS:000454860200049 |
| Scopus: | 2-s2.0-85074912985 |
| Elibrary: | 36998678 |