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Weighted estimates of a solution to the linear problem connected with the one-phase Stefan problem in the case where the specific heat tends to zero. / Solonnikov, V. A.; Frolova, E. V.

в: Journal of Mathematical Sciences , Том 143, № 2, 01.05.2007, стр. 2987-3003.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{4e43b0030b1c48e287a5b124754c7364,
title = "Weighted estimates of a solution to the linear problem connected with the one-phase Stefan problem in the case where the specific heat tends to zero",
abstract = "We prove estimates in weighted H{\"o}lder norms for a solution to the model linear problem related with the one-phase Stefan problem with a small multiplier ε at time derivative in the heat equation. These estimates are uniform with respect to parameter ε and are significant in justification of passage to the limit in the one-phase Stefan problem as the specific heat tends to zero. Bibliography: 8 titles. {\textcopyright} Springer Science+Business Media, Inc. 2007.",
author = "Solonnikov, {V. A.} and Frolova, {E. V.}",
year = "2007",
month = may,
day = "1",
doi = "10.1007/s10958-007-0180-8",
language = "English",
volume = "143",
pages = "2987--3003",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Weighted estimates of a solution to the linear problem connected with the one-phase Stefan problem in the case where the specific heat tends to zero

AU - Solonnikov, V. A.

AU - Frolova, E. V.

PY - 2007/5/1

Y1 - 2007/5/1

N2 - We prove estimates in weighted Hölder norms for a solution to the model linear problem related with the one-phase Stefan problem with a small multiplier ε at time derivative in the heat equation. These estimates are uniform with respect to parameter ε and are significant in justification of passage to the limit in the one-phase Stefan problem as the specific heat tends to zero. Bibliography: 8 titles. © Springer Science+Business Media, Inc. 2007.

AB - We prove estimates in weighted Hölder norms for a solution to the model linear problem related with the one-phase Stefan problem with a small multiplier ε at time derivative in the heat equation. These estimates are uniform with respect to parameter ε and are significant in justification of passage to the limit in the one-phase Stefan problem as the specific heat tends to zero. Bibliography: 8 titles. © Springer Science+Business Media, Inc. 2007.

UR - http://www.scopus.com/inward/record.url?scp=34247391415&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0180-8

DO - 10.1007/s10958-007-0180-8

M3 - Article

AN - SCOPUS:34247391415

VL - 143

SP - 2987

EP - 3003

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 103856148