Degenerating parabolic equations with a variable direction of evolution [ВЫРОЖДАЮЩИЕСЯ ПАРАБОЛИЧЕСКИЕ УРАВНЕНИЯ С ПЕРЕМЕННЫМ НАПРАВЛЕНИЕМ ЭВОЛЮЦИИ] Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2019, Volume: 16, Pages: 718-731 Pages count : 14 DOI: 10.33048/semi.2019.16.048 | ||||
| Tags | Boundary value problems; Degenerate parabolic equations; Existence; Regular solutions; Uniqueness; Variable direction of evolution | ||||
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Abstract:
The aim of the paper is to study the solvability in the classes of regular solutions of boundary value problems for differential equations ϕ (t)ut - ψ (t)Δu + c(x, t)u = f(x, t) (x ∈ Ω ⊂ ℝn, 0 < t < T). A feature of these equations is that the function ϕ(t) in them can arbitrarily change the sign on the segment [0, T], while the function ψ (t) is nonnegative for t ∈ [0, T]. For the problems under consideration, we prove existence and uniqueness theorems. © 2019, Sobolev Institute of Mathematics.
Cite:
Kozhanov A.I.
, Macievskaya E.E.
Degenerating parabolic equations with a variable direction of evolution [ВЫРОЖДАЮЩИЕСЯ ПАРАБОЛИЧЕСКИЕ УРАВНЕНИЯ С ПЕРЕМЕННЫМ НАПРАВЛЕНИЕМ ЭВОЛЮЦИИ]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.718-731. DOI: 10.33048/semi.2019.16.048 WOS Scopus OpenAlex
Degenerating parabolic equations with a variable direction of evolution [ВЫРОЖДАЮЩИЕСЯ ПАРАБОЛИЧЕСКИЕ УРАВНЕНИЯ С ПЕРЕМЕННЫМ НАПРАВЛЕНИЕМ ЭВОЛЮЦИИ]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.718-731. DOI: 10.33048/semi.2019.16.048 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000470316800001 |
| Scopus: | 2-s2.0-85071176175 |
| OpenAlex: | W3016124586 |