Degenerating parabolic equations with a variable direction of evolution

Alexandr Ivanovich Kozhanov; Ekaterina Evgenievna Macievskaya

doi:10.33048/semi.2019.16.048

Degenerating parabolic equations with a variable direction of evolution

Переведенное название: Вырождающиеся параболические уравнения с переменным направлением эволюции

Alexandr Ivanovich Kozhanov, Ekaterina Evgenievna Macievskaya

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

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)u_t - 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.

Переведенное название	Вырождающиеся параболические уравнения с переменным направлением эволюции
Язык оригинала	английский
Страницы (с-по)	718-731
Число страниц	14
Журнал	Siberian Electronic Mathematical Reports
Том	16
DOI	https://doi.org/10.33048/semi.2019.16.048
Состояние	Опубликовано - 1 янв 2019

Ключевые слова

Boundary value problems
Degenerate parabolic equations
Existence
Regular solutions
Uniqueness
Variable direction of evolution

ГРНТИ

27 МАТЕМАТИКА

Доступ к документу

10.33048/semi.2019.16.048

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Цитировать

Kozhanov, A. I., & Macievskaya, E. E. (2019). Degenerating parabolic equations with a variable direction of evolution. Siberian Electronic Mathematical Reports, 16, 718-731. https://doi.org/10.33048/semi.2019.16.048

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