Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 299-323
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V. A. Solonnikov; E. V. Frolova. $L_p$-theory of the Stefan problem. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 299-323. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a15/
@article{ZNSL_1997_243_a15,
author = {V. A. Solonnikov and E. V. Frolova},
title = {$L_p$-theory of the {Stefan} problem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {299--323},
year = {1997},
volume = {243},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a15/}
}
TY - JOUR
AU - V. A. Solonnikov
AU - E. V. Frolova
TI - $L_p$-theory of the Stefan problem
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 299
EP - 323
VL - 243
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a15/
LA - ru
ID - ZNSL_1997_243_a15
ER -
%0 Journal Article
%A V. A. Solonnikov
%A E. V. Frolova
%T $L_p$-theory of the Stefan problem
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 299-323
%V 243
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a15/
%G ru
%F ZNSL_1997_243_a15
Local solvability of the one-phase Stefan problem is established in anisotropic Sobolev spaces. There is no loss of regularity. Hanzawa transformation of the Stefan problem to a problem in a domain with a fixed boundary is modified.
