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Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. / Arkhipova, Arina A.

In: Manuscripta Mathematica, 08.02.2022.

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

Harvard

Arkhipova, AA 2022, 'Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient', Manuscripta Mathematica. https://doi.org/10.1007/s00229-022-01376-0

APA

Arkhipova, A. A. (2022). Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. Manuscripta Mathematica. https://doi.org/10.1007/s00229-022-01376-0

Vancouver

Arkhipova AA. Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. Manuscripta Mathematica. 2022 Feb 8. https://doi.org/10.1007/s00229-022-01376-0

Author

Arkhipova, Arina A. / Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. In: Manuscripta Mathematica. 2022.

BibTeX

@article{49de95ea0b0643b39acd211b50e456b6,
title = "Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient",
abstract = "We consider quasilinear parabolic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-side condition on the nonlinear terms, we study the local smoothness of the possibly unbounded weak solutions.",
keywords = "35K55, 35K59, QUASILINEAR ELLIPTIC-SYSTEMS, PARTIAL HOLDER CONTINUITY",
author = "Arkhipova, {Arina A.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2022",
month = feb,
day = "8",
doi = "10.1007/s00229-022-01376-0",
language = "English",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient

AU - Arkhipova, Arina A.

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2022/2/8

Y1 - 2022/2/8

N2 - We consider quasilinear parabolic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-side condition on the nonlinear terms, we study the local smoothness of the possibly unbounded weak solutions.

AB - We consider quasilinear parabolic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-side condition on the nonlinear terms, we study the local smoothness of the possibly unbounded weak solutions.

KW - 35K55

KW - 35K59

KW - QUASILINEAR ELLIPTIC-SYSTEMS

KW - PARTIAL HOLDER CONTINUITY

UR - http://www.scopus.com/inward/record.url?scp=85124361736&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4eda0c58-409d-33a8-899d-2eab6f5af465/

U2 - 10.1007/s00229-022-01376-0

DO - 10.1007/s00229-022-01376-0

M3 - Article

AN - SCOPUS:85124361736

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

ER -

ID: 100544922