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Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. / Arkhipova, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 264, No. 5, 07.2022, p. 525-551.

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

Harvard

Arkhipova, AA 2022, 'Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions', Journal of Mathematical Sciences (United States), vol. 264, no. 5, pp. 525-551. https://doi.org/10.1007/s10958-022-06015-3

APA

Arkhipova, A. A. (2022). Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. Journal of Mathematical Sciences (United States), 264(5), 525-551. https://doi.org/10.1007/s10958-022-06015-3

Vancouver

Arkhipova AA. Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. Journal of Mathematical Sciences (United States). 2022 Jul;264(5):525-551. https://doi.org/10.1007/s10958-022-06015-3

Author

Arkhipova, A. A. / Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. In: Journal of Mathematical Sciences (United States). 2022 ; Vol. 264, No. 5. pp. 525-551.

BibTeX

@article{3b544154b16941aeb44c8b3e520e3661,
title = "Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions",
abstract = "We consider quasilinear parabolic nondiagonal systems of equations with additional terms with quadratic nonlinearity in the gradient. We study the local continuity of solutions that are not necessarily bounded under optimal smoothness conditions on the principal matrix and one-sided conditions on the strongly nonlinear terms.",
author = "Arkhipova, {A. A.}",
note = "Arkhipova, A.A. Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. J Math Sci 264, 525–551 (2022). https://doi.org/10.1007/s10958-022-06015-3",
year = "2022",
month = jul,
doi = "10.1007/s10958-022-06015-3",
language = "English",
volume = "264",
pages = "525--551",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions

AU - Arkhipova, A. A.

N1 - Arkhipova, A.A. Parabolic Systems with Quadratic Nonlinearities in the Gradient. Regularity of Solutions. J Math Sci 264, 525–551 (2022). https://doi.org/10.1007/s10958-022-06015-3

PY - 2022/7

Y1 - 2022/7

N2 - We consider quasilinear parabolic nondiagonal systems of equations with additional terms with quadratic nonlinearity in the gradient. We study the local continuity of solutions that are not necessarily bounded under optimal smoothness conditions on the principal matrix and one-sided conditions on the strongly nonlinear terms.

AB - We consider quasilinear parabolic nondiagonal systems of equations with additional terms with quadratic nonlinearity in the gradient. We study the local continuity of solutions that are not necessarily bounded under optimal smoothness conditions on the principal matrix and one-sided conditions on the strongly nonlinear terms.

UR - http://www.scopus.com/inward/record.url?scp=85134663587&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4ed4af21-6dec-3443-ac61-b7ecd28b66dc/

U2 - 10.1007/s10958-022-06015-3

DO - 10.1007/s10958-022-06015-3

M3 - Article

AN - SCOPUS:85134663587

VL - 264

SP - 525

EP - 551

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 100544874