Standard

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

In: St. Petersburg Mathematical Journal, Vol. 30, No. 2, 02.2019, p. 181-202.

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

Harvard

Arkhipova, AA 2019, 'Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution', St. Petersburg Mathematical Journal, vol. 30, no. 2, pp. 181-202. https://doi.org/10.1090/spmj/1537

APA

Arkhipova, A. A. (2019). Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. St. Petersburg Mathematical Journal, 30(2), 181-202. https://doi.org/10.1090/spmj/1537

Vancouver

Arkhipova AA. Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. St. Petersburg Mathematical Journal. 2019 Feb;30(2):181-202. https://doi.org/10.1090/spmj/1537

Author

Arkhipova, A. A. . / Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. In: St. Petersburg Mathematical Journal. 2019 ; Vol. 30, No. 2. pp. 181-202.

BibTeX

@article{fe1c11487acc4956a72c471cc0a8614b,
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 = "глобальная разрешимость, сильно нелинейные параболические системы, Global solvability, Parabolic systems, Strong nonlinearity",
author = "Arkhipova, {A. A.}",
year = "2019",
month = feb,
doi = "10.1090/spmj/1537",
language = "English",
volume = "30",
pages = "181--202",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
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 - 2019/2

Y1 - 2019/2

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 - глобальная разрешимость, сильно нелинейные параболические системы

KW - Global solvability

KW - Parabolic systems

KW - Strong nonlinearity

UR - http://www.scopus.com/inward/record.url?scp=85062833576&partnerID=8YFLogxK

U2 - 10.1090/spmj/1537

DO - 10.1090/spmj/1537

M3 - Article

VL - 30

SP - 181

EP - 202

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 39997950