Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 30-60
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G. I. Bizhanova. On the classical solvability of one-dimensional free boundary Florin, Muskat–Verigin and Stefan problems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 30-60. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a3/
@article{ZNSL_1997_243_a3,
author = {G. I. Bizhanova},
title = {On the classical solvability of one-dimensional free boundary {Florin,} {Muskat{\textendash}Verigin} and {Stefan} problems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--60},
year = {1997},
volume = {243},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a3/}
}
TY - JOUR
AU - G. I. Bizhanova
TI - On the classical solvability of one-dimensional free boundary Florin, Muskat–Verigin and Stefan problems
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 30
EP - 60
VL - 243
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a3/
LA - ru
ID - ZNSL_1997_243_a3
ER -
%0 Journal Article
%A G. I. Bizhanova
%T On the classical solvability of one-dimensional free boundary Florin, Muskat–Verigin and Stefan problems
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 30-60
%V 243
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a3/
%G ru
%F ZNSL_1997_243_a3
Three one-dimensional free boundary problems (Florin, Muskat–Verigin and Stefan) for the second order parabolic equations are studied. The theorems of existence and uniqueness for the solutions in Holder spaces for small time are proved, the coercive estimates for the solutions are obtained.
