The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics

D. S. Anikonov; D. S. Konovalova

doi:10.1007/s10958-021-05232-6

The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics

D. S. Anikonov, D. S. Konovalova

Кафедра дифференциальных уравнений ММФ

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

Аннотация

We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients of partial derivatives is discontinuous. Hence characteristics are piecewise smooth curves and the solution to the Cauchy problem (understood in some generalized sense) has specific properties. In particular, the solutions is not defined in some domain and is discontinuous and unextendable in some other domain.

Язык оригинала	английский
Страницы (с-по)	339-353
Число страниц	15
Журнал	Journal of Mathematical Sciences (United States)
Том	253
Номер выпуска	3
DOI	https://doi.org/10.1007/s10958-021-05232-6
Состояние	Опубликовано - мар. 2021

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

Доступ к документу

10.1007/s10958-021-05232-6

Другие файлы и ссылки

Ссылка на публикацию в Scopus

Fingerprint

Подробные сведения о темах исследования «The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{b198091e0f084bf0977a8c5762659bac,

title = "The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics",

abstract = "We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients of partial derivatives is discontinuous. Hence characteristics are piecewise smooth curves and the solution to the Cauchy problem (understood in some generalized sense) has specific properties. In particular, the solutions is not defined in some domain and is discontinuous and unextendable in some other domain.",

author = "Anikonov, {D. S.} and Konovalova, {D. S.}",

year = "2021",

month = mar,

doi = "10.1007/s10958-021-05232-6",

language = "English",

volume = "253",

pages = "339--353",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics. / Anikonov, D. S.; Konovalova, D. S.

В: Journal of Mathematical Sciences (United States), Том 253, № 3, 03.2021, стр. 339-353.

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

TY - JOUR

T1 - The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics

AU - Anikonov, D. S.

AU - Konovalova, D. S.

PY - 2021/3

Y1 - 2021/3

N2 - We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients of partial derivatives is discontinuous. Hence characteristics are piecewise smooth curves and the solution to the Cauchy problem (understood in some generalized sense) has specific properties. In particular, the solutions is not defined in some domain and is discontinuous and unextendable in some other domain.

AB - We study the Cauchy problem for an equation with first order partial derivatives and two independent variables. One of coefficients of partial derivatives is discontinuous. Hence characteristics are piecewise smooth curves and the solution to the Cauchy problem (understood in some generalized sense) has specific properties. In particular, the solutions is not defined in some domain and is discontinuous and unextendable in some other domain.

UR - http://www.scopus.com/inward/record.url?scp=85100543576&partnerID=8YFLogxK

U2 - 10.1007/s10958-021-05232-6

DO - 10.1007/s10958-021-05232-6

M3 - Article

AN - SCOPUS:85100543576

VL - 253

SP - 339

EP - 353

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 3

ER -