Standard

Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. / Arkhipova, A. A. .

In: АЛГЕБРА И АНАЛИЗ, Vol. 30, No. 2, 2018, p. 45-75.

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

Harvard

Arkhipova, AA 2018, 'Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution.', АЛГЕБРА И АНАЛИЗ, vol. 30, no. 2, pp. 45-75.

APA

Arkhipova, A. A. (2018). Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. АЛГЕБРА И АНАЛИЗ, 30(2), 45-75.

Vancouver

Arkhipova AA. Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. АЛГЕБРА И АНАЛИЗ. 2018;30(2):45-75.

Author

Arkhipova, A. A. . / Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. In: АЛГЕБРА И АНАЛИЗ. 2018 ; Vol. 30, No. 2. pp. 45-75.

BibTeX

@article{4c45d225d01447a88aed4665f7e4b77b,
title = "Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution.",
abstract = "A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.",
keywords = "parabolic systems, strong nonlinearity, global solvability",
author = "Arkhipova, {A. A.}",
year = "2018",
language = "English",
volume = "30",
pages = "45--75",
journal = "АЛГЕБРА И АНАЛИЗ",
issn = "0234-0852",
publisher = "Издательство {"}Наука{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution.

AU - Arkhipova, A. A.

PY - 2018

Y1 - 2018

N2 - A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.

AB - A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.

KW - parabolic systems

KW - strong nonlinearity

KW - global solvability

UR - http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1580&option_lang=rus

UR - https://www.elibrary.ru/item.asp?id=32469626

M3 - Article

VL - 30

SP - 45

EP - 75

JO - АЛГЕБРА И АНАЛИЗ

JF - АЛГЕБРА И АНАЛИЗ

SN - 0234-0852

IS - 2

ER -

ID: 28233482