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Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices. / Arkhipova, Arina A.; Stara, Jana.

In: Commentationes Mathematicae Universitatis Carolinae, Vol. 60, No. 2, 2019, p. 231-267.

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

Harvard

Arkhipova, AA & Stara, J 2019, 'Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices', Commentationes Mathematicae Universitatis Carolinae, vol. 60, no. 2, pp. 231-267. https://doi.org/10.14712/1213-7243.2019.010

APA

Arkhipova, A. A., & Stara, J. (2019). Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices. Commentationes Mathematicae Universitatis Carolinae, 60(2), 231-267. https://doi.org/10.14712/1213-7243.2019.010

Vancouver

Arkhipova AA, Stara J. Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices. Commentationes Mathematicae Universitatis Carolinae. 2019;60(2):231-267. https://doi.org/10.14712/1213-7243.2019.010

Author

Arkhipova, Arina A. ; Stara, Jana. / Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices. In: Commentationes Mathematicae Universitatis Carolinae. 2019 ; Vol. 60, No. 2. pp. 231-267.

BibTeX

@article{b73f8cd695fd4292be6ca868094ca818,
title = "Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices",
abstract = "Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called A(t)-caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems.",
keywords = "parabolic systems of equations, nonlinear parabolic systems, Regularity problem",
author = "Arkhipova, {Arina A.} and Jana Stara",
year = "2019",
doi = "10.14712/1213-7243.2019.010",
language = "English",
volume = "60",
pages = "231--267",
journal = "Commentationes Mathematicae Universitatis Carolinae",
issn = "0010-2628",
publisher = "Charles University in Prague",
number = "2",

}

RIS

TY - JOUR

T1 - Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices

AU - Arkhipova, Arina A.

AU - Stara, Jana

PY - 2019

Y1 - 2019

N2 - Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called A(t)-caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems.

AB - Partial regularity of solutions to a class of second order nonlinear parabolic systems with non-smooth in time principal matrices is proved in the paper. The coefficients are assumed to be measurable and bounded in the time variable and VMO-smooth in the space variables uniformly with respect to time. To prove the result, we apply the so-called A(t)-caloric approximation method. The method was applied by the authors earlier to study regularity of quasilinear systems.

KW - parabolic systems of equations

KW - nonlinear parabolic systems

KW - Regularity problem

UR - http://www.scopus.com/inward/record.url?scp=85069657069&partnerID=8YFLogxK

U2 - 10.14712/1213-7243.2019.010

DO - 10.14712/1213-7243.2019.010

M3 - Article

VL - 60

SP - 231

EP - 267

JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

SN - 0010-2628

IS - 2

ER -

ID: 45909042