Standard

Lipschitz property of the free boundary in the parabolic obstacle problem. / Apushkinskaya, D. E.; Ural’Tseva, N. N.; Shahgholian, H.

в: St. Petersburg Mathematical Journal, Том 15, № 3, 01.01.2004, стр. 375-391.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Apushkinskaya, DE, Ural’Tseva, NN & Shahgholian, H 2004, 'Lipschitz property of the free boundary in the parabolic obstacle problem', St. Petersburg Mathematical Journal, Том. 15, № 3, стр. 375-391. https://doi.org/10.1090/S1061-0022-04-00813-1

APA

Apushkinskaya, D. E., Ural’Tseva, N. N., & Shahgholian, H. (2004). Lipschitz property of the free boundary in the parabolic obstacle problem. St. Petersburg Mathematical Journal, 15(3), 375-391. https://doi.org/10.1090/S1061-0022-04-00813-1

Vancouver

Apushkinskaya DE, Ural’Tseva NN, Shahgholian H. Lipschitz property of the free boundary in the parabolic obstacle problem. St. Petersburg Mathematical Journal. 2004 Янв. 1;15(3):375-391. https://doi.org/10.1090/S1061-0022-04-00813-1

Author

Apushkinskaya, D. E. ; Ural’Tseva, N. N. ; Shahgholian, H. / Lipschitz property of the free boundary in the parabolic obstacle problem. в: St. Petersburg Mathematical Journal. 2004 ; Том 15, № 3. стр. 375-391.

BibTeX

@article{7fbaae050fb24ceabb6f648c3791e7ed,
title = "Lipschitz property of the free boundary in the parabolic obstacle problem",
abstract = "A parabolic obstacle problem with zero constraint is considered. It is proved, without any additional assumptions on a free boundary, that near the fixed boundary where the homogeneous Dirichlet condition is fulfilled, the boundary of the noncoincidence set is the graph of a Lipschitz function.",
keywords = "Free boundary problems, Parabolic variational inequality, Regularity",
author = "Apushkinskaya, {D. E.} and Ural{\textquoteright}Tseva, {N. N.} and H. Shahgholian",
year = "2004",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-04-00813-1",
language = "English",
volume = "15",
pages = "375--391",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Lipschitz property of the free boundary in the parabolic obstacle problem

AU - Apushkinskaya, D. E.

AU - Ural’Tseva, N. N.

AU - Shahgholian, H.

PY - 2004/1/1

Y1 - 2004/1/1

N2 - A parabolic obstacle problem with zero constraint is considered. It is proved, without any additional assumptions on a free boundary, that near the fixed boundary where the homogeneous Dirichlet condition is fulfilled, the boundary of the noncoincidence set is the graph of a Lipschitz function.

AB - A parabolic obstacle problem with zero constraint is considered. It is proved, without any additional assumptions on a free boundary, that near the fixed boundary where the homogeneous Dirichlet condition is fulfilled, the boundary of the noncoincidence set is the graph of a Lipschitz function.

KW - Free boundary problems

KW - Parabolic variational inequality

KW - Regularity

UR - http://www.scopus.com/inward/record.url?scp=85009783254&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-04-00813-1

DO - 10.1090/S1061-0022-04-00813-1

M3 - Article

AN - SCOPUS:85009783254

VL - 15

SP - 375

EP - 391

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 36074054