Geodesic
On a~free boundary problem
Izvestiya. Mathematics , Tome 66 (2002) no. 4, pp. 807-827

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We investigate the smooth solubility of a mixed problem for a parabolic equation with double non-linearity. The results are used to study a free boundary problem. 
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     author = {K. N. Soltanov and E. B. Novruzov},
     title = {On a~free boundary problem},
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K. N. Soltanov; E. B. Novruzov. On a~free boundary problem. Izvestiya. Mathematics , Tome 66 (2002) no. 4, pp. 807-827. http://geodesic.mathdoc.fr/item/IM2_2002_66_4_a5/