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Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions. / Arkhipova, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 242, No. 1, 07.10.2019, p. 25-51.

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

Harvard

Arkhipova, AA 2019, 'Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions', Journal of Mathematical Sciences (United States), vol. 242, no. 1, pp. 25-51. https://doi.org/10.1007/s10958-019-04465-w

APA

Arkhipova, A. A. (2019). Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions. Journal of Mathematical Sciences (United States), 242(1), 25-51. https://doi.org/10.1007/s10958-019-04465-w

Vancouver

Arkhipova AA. Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions. Journal of Mathematical Sciences (United States). 2019 Oct 7;242(1):25-51. https://doi.org/10.1007/s10958-019-04465-w

Author

Arkhipova, A. A. / Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 242, No. 1. pp. 25-51.

BibTeX

@article{5d62a3b8ce77422b8c5217a91f946e29,
title = "Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions",
abstract = "We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the H{\"o}lder continuity of solutions on a set of full measure with an estimate for the admissible singular set. For solutions to the corresponding linear problem we establish the H{\"o}lder continuity in a neighborhood of the medium interface.",
author = "Arkhipova, {A. A.}",
year = "2019",
month = oct,
day = "7",
doi = "10.1007/s10958-019-04465-w",
language = "English",
volume = "242",
pages = "25--51",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions

AU - Arkhipova, A. A.

PY - 2019/10/7

Y1 - 2019/10/7

N2 - We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the Hölder continuity of solutions on a set of full measure with an estimate for the admissible singular set. For solutions to the corresponding linear problem we establish the Hölder continuity in a neighborhood of the medium interface.

AB - We study the regularity of weak solutions to the two-phase the problem for quasilinear parabolic systems with nondiagonal principal matrices. We prove the Hölder continuity of solutions on a set of full measure with an estimate for the admissible singular set. For solutions to the corresponding linear problem we establish the Hölder continuity in a neighborhood of the medium interface.

UR - http://www.scopus.com/inward/record.url?scp=85071031411&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04465-w

DO - 10.1007/s10958-019-04465-w

M3 - Article

AN - SCOPUS:85071031411

VL - 242

SP - 25

EP - 51

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 51917758