The investigation of the solvability of the multidimentional two-phase Stefan and nonstationary filtration Florin problems for the second order parabolic equations in weighted Hölder spaces of functions
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 25, Tome 213 (1994), pp. 14-47
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G. I. Bizhanova. The investigation of the solvability of the multidimentional two-phase Stefan and nonstationary filtration Florin problems for the second order parabolic equations in weighted Hölder spaces of functions. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 25, Tome 213 (1994), pp. 14-47. http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a1/
@article{ZNSL_1994_213_a1,
author = {G. I. Bizhanova},
title = {The investigation of the solvability of the multidimentional two-phase {Stefan} and nonstationary filtration {Florin} problems for the second order parabolic equations in weighted {H\"older} spaces of functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {14--47},
year = {1994},
volume = {213},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a1/}
}
TY - JOUR
AU - G. I. Bizhanova
TI - The investigation of the solvability of the multidimentional two-phase Stefan and nonstationary filtration Florin problems for the second order parabolic equations in weighted Hölder spaces of functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 14
EP - 47
VL - 213
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a1/
LA - ru
ID - ZNSL_1994_213_a1
ER -
%0 Journal Article
%A G. I. Bizhanova
%T The investigation of the solvability of the multidimentional two-phase Stefan and nonstationary filtration Florin problems for the second order parabolic equations in weighted Hölder spaces of functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 14-47
%V 213
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_213_a1/
%G ru
%F ZNSL_1994_213_a1
Multidimentional two-phase Stefan ($k=1$) and nonstationary filtration Florin ($k=0$) problems for the second order parabolic equations in case when the free boundary is a graph of function $x_n=\Psi_k(x',t')$, $x'\in R^{n-1}$, $n\ge2$, $t\in(0,T)$, are studied. The unique solvability theorem in the weighted Hölder spaces of functions with the time power weight is proved, the coercive estimates for the solutions are obtained. Bibliography: 30 titles.
