Geodesic
On conditions for the existence of a~classical solution of the modified Stefan problem (the Gibbs--Thomson law)
Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 221-246

Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions close to necessary are obtained for the existence of a solution (unique for $\sigma>0$ and $\beta>0$) of a solution of the modified Stefan problem on a small time interval. 
@article{SM_1993_75_1_a12,
     author = {E. V. Radkevich},
     title = {On conditions for the existence of a~classical solution of the modified {Stefan} problem (the {Gibbs--Thomson} law)},
     journal = {Sbornik. Mathematics},
     pages = {221--246},
     publisher = {mathdoc},
     volume = {75},
     number = {1},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1993_75_1_a12/}
}
TY  - JOUR
AU  - E. V. Radkevich
TI  - On conditions for the existence of a~classical solution of the modified Stefan problem (the Gibbs--Thomson law)
JO  - Sbornik. Mathematics
PY  - 1993
SP  - 221
EP  - 246
VL  - 75
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_1993_75_1_a12/
LA  - en
ID  - SM_1993_75_1_a12
ER  - 
%0 Journal Article
%A E. V. Radkevich
%T On conditions for the existence of a~classical solution of the modified Stefan problem (the Gibbs--Thomson law)
%J Sbornik. Mathematics
%D 1993
%P 221-246
%V 75
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_1993_75_1_a12/
%G en
%F SM_1993_75_1_a12
E. V. Radkevich. On conditions for the existence of a~classical solution of the modified Stefan problem (the Gibbs--Thomson law). Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 221-246. http://geodesic.mathdoc.fr/item/SM_1993_75_1_a12/