Borodin, Mikhail A. Stefan problem. (English. Ukrainian original) Zbl 1291.35451 J. Math. Sci., New York 178, No. 1, 13-40 (2011); translation from Ukr. Mat. Visn. 8, No. 1, 17-54 (2011). MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{M. A. Borodin}, J. Math. Sci., New York 178, No. 1, 13--40 (2011; Zbl 1291.35451); translation from Ukr. Mat. Visn. 8, No. 1, 17--54 (2011) Full Text: DOI
Borodin, M. A. The Stefan problem. (English) Zbl 1212.35507 Nonlinear Bound. Value Probl. 18, 218-229 (2008). MSC: 35R35 PDFBibTeX XMLCite \textit{M. A. Borodin}, Nonlinear Bound. Value Probl. 18, 218--229 (2008; Zbl 1212.35507)
Borodin, M. A. Two-phase Stefan problem for elliptic and parabolic equations. (English) Zbl 1150.35594 Nonlinear Bound. Value Probl. 16, 36-45 (2006). MSC: 35R35 PDFBibTeX XMLCite \textit{M. A. Borodin}, Nonlinear Bound. Value Probl. 16, 36--45 (2006; Zbl 1150.35594)
Borodin, M. A. The Stefan problem with surface tension. (Russian. English summary) Zbl 1155.35495 Ukr. Mat. Visn. 1, No. 1, 47-60 (2004); translation in Ukr. Math. Bull. 1, No. 1, 53-65 (2004). MSC: 35R35 35B35 35K60 80A22 PDFBibTeX XMLCite \textit{M. A. Borodin}, Ukr. Mat. Visn. 1, No. 1, 47--60 (2004; Zbl 1155.35495); translation in Ukr. Math. Bull. 1, No. 1, 53--65 (2004)
Borodin, M. A. Existence of a global classical solution in a nonlinear parabolic problem with a free boundary. (Russian) Zbl 0962.35097 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 6, 7-12 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 35K60 35R35 65M06 PDFBibTeX XMLCite \textit{M. A. Borodin}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 6, 7--12 (1999; Zbl 0962.35097)
Borodin, M. A. Existence of the global classical solution for a two-phase Stefan problem. (English) Zbl 0942.35168 SIAM J. Math. Anal. 30, No. 6, 1264-1281 (1999). Reviewer: Shigeru Sakaguchi (Ehime) MSC: 35R35 80A22 35A05 PDFBibTeX XMLCite \textit{M. A. Borodin}, SIAM J. Math. Anal. 30, No. 6, 1264--1281 (1999; Zbl 0942.35168) Full Text: DOI
Borodin, M. A. Solvability of the two-phase Stefan problem on the whole in time. (English) Zbl 0999.35114 Moskaliuk, S. S. (ed.), Methods in mathematical physics. Proceedings of the 12th international Hutsulian workshop, Rakhiv, Ukraine, September 11-17, 1995. Palm Harbor, FL: Hadronic Press. 91-104 (1997). MSC: 35R35 80A22 35R10 PDFBibTeX XMLCite \textit{M. A. Borodin}, in: Methods in mathematical physics. Proceedings of the 12th international Hutsulian workshop, Rakhiv, Ukraine, September 11--17, 1995. Palm Harbor, FL: Hadronic Press. 91--104 (1997; Zbl 0999.35114)
Borodin, M. A. Two-phase contact Stefan problem. (English. Russian original) Zbl 0937.35190 Ukr. Math. J. 47, No. 2, 187-198 (1995); translation from Ukr. Mat. Zh. 47, No. 2, 158-167 (1995). Reviewer: Valerie Samoilenko (Kyïv) MSC: 35R35 35K20 74M15 80A22 PDFBibTeX XMLCite \textit{M. A. Borodin}, Ukr. Mat. Zh. 47, No. 2, 158--167 (1995; Zbl 0937.35190); translation from Ukr. Mat. Zh. 47, No. 2, 158--167 (1995) Full Text: DOI
Borodin, M. A. Existence of the classic solution of a two phase multidimensional Stefan problem on any finite time interval. (English) Zbl 0818.35144 Antontsev, S. N. (ed.) et al., Free boundary problems in continuum mechanics. International conference on free boundary problems in continuum mechanics, Novosibirsk, Russia, July 15-19, 1991. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 106, 97-103 (1992). MSC: 35R35 80A22 PDFBibTeX XMLCite \textit{M. A. Borodin}, ISNM, Int. Ser. Numer. Math. 106, 97--103 (1992; Zbl 0818.35144)
Borodin, M. A. Existence of a classical solution in a multi-dimensional Stefan problem on a finite time interval. (English. Russian original) Zbl 0796.35178 Ukr. Math. J. 44, No. 12, 1517-1522 (1992); translation from Ukr. Mat. Zh. 44, No. 12, 1652-1657 (1992). MSC: 35R35 80A22 35B65 PDFBibTeX XMLCite \textit{M. A. Borodin}, Ukr. Mat. Zh. 44, No. 12, 1652--1657 (1992; Zbl 0796.35178); translation from Ukr. Mat. Zh. 44, No. 12, 1652--1657 (1992) Full Text: DOI
Borodin, M. A. A two-phase quasi-stationary Stefan problem. (Russian) Zbl 0525.76098 Partial differential equations and problems with free boundary, Collect. sci. Works, Kiev 1983, 28-30 (1983). MSC: 76T99 35R35 PDFBibTeX XML
Borodin, M. A. On the solvability of the two-phase, time-dependent Stefan problem. (English. Russian original) Zbl 0537.35075 Sov. Math., Dokl. 25, 469-471 (1982); translation from Dokl. Akad. Nauk SSSR 263, 1040-1042 (1982). Reviewer: D.Fagé MSC: 35R35 35K05 82B26 PDFBibTeX XMLCite \textit{M. A. Borodin}, Sov. Math., Dokl. 25, 469--471 (1982; Zbl 0537.35075); translation from Dokl. Akad. Nauk SSSR 263, 1040--1042 (1982)
Borodin, M. A. On the solvability of the two-phase quasi-stationary Stefan problem. (Russian) Zbl 0485.35086 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 2, 3-5 (1982). MSC: 35R35 35K05 PDFBibTeX XMLCite \textit{M. A. Borodin}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 2, 3--5 (1982; Zbl 0485.35086)
Borodin, M. A. The problem of the existence of the solution of a one-phase quasi- stationary Stefan problem. (Russian) Zbl 0479.35078 Boundary value problems of mathematical physics, Collect. sci. Works, Kiev 1981, 11 (1981). MSC: 35R35 35K05 35A05 35D05 35B65 PDFBibTeX XML
Borodin, M. A.; Fel’genhauer, U. The axially symmetric one-phase Stefan problem. (Russian) Zbl 0447.35067 Mat. Fiz. 24, 74-76 (1978). MSC: 35R35 35A05 PDFBibTeX XMLCite \textit{M. A. Borodin} and \textit{U. Fel'genhauer}, Mat. Fiz. 24, 74--76 (1978; Zbl 0447.35067)