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

In: Journal of Mathematical Sciences (United States), Vol. 253, No. 3, 03.2021, p. 339-353.

Research output: Contribution to journal › Article › peer-review

Harvard

Anikonov, DS & Konovalova, DS 2021, 'The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics', Journal of Mathematical Sciences (United States), vol. 253, no. 3, pp. 339-353. https://doi.org/10.1007/s10958-021-05232-6

APA

Anikonov, D. S., & Konovalova, D. S. (2021). The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics. Journal of Mathematical Sciences (United States), 253(3), 339-353. https://doi.org/10.1007/s10958-021-05232-6

Vancouver

Anikonov DS, Konovalova DS. The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics. Journal of Mathematical Sciences (United States). 2021 Mar;253(3):339-353. doi: 10.1007/s10958-021-05232-6

Author

Anikonov, D. S. ; Konovalova, D. S. / The Cauchy Problem for Differential Equations with Piecewise Smooth Characteristics. In: Journal of Mathematical Sciences (United States). 2021 ; Vol. 253, No. 3. pp. 339-353.

BibTeX

@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.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
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",

}

RIS

TY - JOUR

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

AU - Anikonov, D. S.

AU - Konovalova, D. S.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

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 -

ID: 27879270