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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 изданиях › статья › Рецензирование
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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