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 › рецензирование

1 Цитирования (Scopus)

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	Сибирские электронные математические известия
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

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

ГРНТИ

27 МАТЕМАТИКА

Доступ к документу

10.33048/semi.2019.16.048

Fingerprint

Подробные сведения о темах исследования «Вырождающиеся параболические уравнения с переменным направлением эволюции». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{ec5359c85bbd47a5a23e186de0bbc8fb,

title = "Degenerating parabolic equations with a variable direction of evolution",

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.",

keywords = "Boundary value problems, Degenerate parabolic equations, Existence, Regular solutions, Uniqueness, Variable direction of evolution, degenerate parabolic equations, variable direction of evolution, boundary value problems, regular solutions, existence, uniqueness",

author = "Kozhanov, {Alexandr Ivanovich} and Macievskaya, {Ekaterina Evgenievna}",

year = "2019",

month = jan,

day = "1",

doi = "10.33048/semi.2019.16.048",

language = "English",

volume = "16",

pages = "718--731",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

Degenerating parabolic equations with a variable direction of evolution. / Kozhanov, Alexandr Ivanovich; Macievskaya, Ekaterina Evgenievna.

В: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 718-731.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Degenerating parabolic equations with a variable direction of evolution

AU - Kozhanov, Alexandr Ivanovich

AU - Macievskaya, Ekaterina Evgenievna

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Boundary value problems

KW - Degenerate parabolic equations

KW - Existence

KW - Regular solutions

KW - Uniqueness

KW - Variable direction of evolution

KW - degenerate parabolic equations

KW - variable direction of evolution

KW - boundary value problems

KW - regular solutions

KW - existence

KW - uniqueness

UR - http://www.scopus.com/inward/record.url?scp=85071176175&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=42735092

U2 - 10.33048/semi.2019.16.048

DO - 10.33048/semi.2019.16.048

M3 - Article

AN - SCOPUS:85071176175

VL - 16

SP - 718

EP - 731

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -