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Regularity problem for parabolic systems with quadratic nonlinearity in the gradient. / Архипова, Арина Алексеевна.

In: Journal of Mathematical Sciences, Vol. 291, No. 4, 01.07.2025, p. 460-488.

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

Harvard

Архипова, АА 2025, 'Regularity problem for parabolic systems with quadratic nonlinearity in the gradient', Journal of Mathematical Sciences, vol. 291, no. 4, pp. 460-488. https://doi.org/10.1007/s10958-025-07824-y

APA

Архипова, А. А. (2025). Regularity problem for parabolic systems with quadratic nonlinearity in the gradient. Journal of Mathematical Sciences, 291(4), 460-488. https://doi.org/10.1007/s10958-025-07824-y

Vancouver

Архипова АА. Regularity problem for parabolic systems with quadratic nonlinearity in the gradient. Journal of Mathematical Sciences. 2025 Jul 1;291(4):460-488. https://doi.org/10.1007/s10958-025-07824-y

Author

Архипова, Арина Алексеевна. / Regularity problem for parabolic systems with quadratic nonlinearity in the gradient. In: Journal of Mathematical Sciences. 2025 ; Vol. 291, No. 4. pp. 460-488.

BibTeX

@article{b02f807e328e479f977804861d1a3143,
title = "Regularity problem for parabolic systems with quadratic nonlinearity in the gradient",
abstract = "We consider a class of nonlinear parabolic systems with strong ((quadratic) nonlinearity in the gradient. Under a one-sided condition on the quadratic term, we establish the partial H{\"o}lder continuity of weak ((possibly, unbounded) solutions and their gradients. Bibliography: 23 titles.",
author = "Архипова, {Арина Алексеевна}",
year = "2025",
month = jul,
day = "1",
doi = "10.1007/s10958-025-07824-y",
language = "English",
volume = "291",
pages = "460--488",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Regularity problem for parabolic systems with quadratic nonlinearity in the gradient

AU - Архипова, Арина Алексеевна

PY - 2025/7/1

Y1 - 2025/7/1

N2 - We consider a class of nonlinear parabolic systems with strong ((quadratic) nonlinearity in the gradient. Under a one-sided condition on the quadratic term, we establish the partial Hölder continuity of weak ((possibly, unbounded) solutions and their gradients. Bibliography: 23 titles.

AB - We consider a class of nonlinear parabolic systems with strong ((quadratic) nonlinearity in the gradient. Under a one-sided condition on the quadratic term, we establish the partial Hölder continuity of weak ((possibly, unbounded) solutions and their gradients. Bibliography: 23 titles.

UR - https://www.mendeley.com/catalogue/766ebb75-d55f-37b9-ae07-6541bdd68fb2/

U2 - 10.1007/s10958-025-07824-y

DO - 10.1007/s10958-025-07824-y

M3 - Article

VL - 291

SP - 460

EP - 488

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 143064447