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Frolova, Elena Veniaminovna
Statistics Math-Net.Ru
Total publications: 19
Scientific articles: 16
Talks: 1

Number of views:
This page:1398
Abstract pages:11670
Full texts:4942
Talk pages:566
Associate professor
Candidate of physico-mathematical sciences (1991)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:

https://www.mathnet.ru/eng/person33550
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/291940
https://elibrary.ru/author_items.asp?authorid=112449

Publications in Math-Net.Ru Citations
2026
1. E. V. Frolova, “Global solvability of the free boundary magnetohydrodynamics problem for two fluids”, Zap. Nauchn. Sem. POMI, 550 (2026),  318–340  mathnet
2020
2. E. Frolova, Y. Shibata, “On the maximal $L_p$-$L_q$ regularity theorem for the linearized electro-magnetic field equations with interface conditions”, Zap. Nauchn. Sem. POMI, 489 (2020),  130–172  mathnet 1
2014
3. E. V. Frolova, “Free boundary problem of magnetohydrodynamics”, Zap. Nauchn. Sem. POMI, 425 (2014),  149–178  mathnet; J. Math. Sci. (N. Y.), 210:6 (2015), 857–877  scopus 4
2013
4. V. A. Solonnikov, E. V. Frolova, “Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval”, Zap. Nauchn. Sem. POMI, 410 (2013),  131–167  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 76–97  scopus 13
2010
5. E. V. Frolova, “The order of convergence in the Stefan problem with vanishing specific heat”, Zap. Nauchn. Sem. POMI, 385 (2010),  206–223  mathnet; J. Math. Sci. (N. Y.), 178:3 (2011), 357–366  scopus
2008
6. E. V. Frolova, “Two-phase Stefan problem with vanishing specific heat”, Zap. Nauchn. Sem. POMI, 362 (2008),  337–363  mathnet  zmath  elib; J. Math. Sci. (N. Y.), 159:4 (2009), 580–595  scopus 1
2007
7. V. A. Solonnikov, E. V. Frolova, “On the justification of the quasistationary approximation for the Stefan problem”, Zap. Nauchn. Sem. POMI, 348 (2007),  209–253  mathnet  elib; J. Math. Sci. (N. Y.), 152:5 (2008), 741–768  elib  scopus 6
2006
8. V. A. Solonnikov, E. V. Frolova, “Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero”, Zap. Nauchn. Sem. POMI, 336 (2006),  239–263  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:2 (2007), 2987–3003  elib  scopus 2
2003
9. E. V. Frolova, “Solvability of Verigin problem in Sobolev spaces”, Zap. Nauchn. Sem. POMI, 295 (2003),  180–203  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:2 (2005), 1923–1935 3
1999
10. E. V. Frolova, “$L_p$-estimates of a solution of the model Verigin problem”, Zap. Nauchn. Sem. POMI, 259 (1999),  280–295  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 2018–2029 3
1997
11. V. A. Solonnikov, E. V. Frolova, “$L_p$-theory of the Stefan problem”, Zap. Nauchn. Sem. POMI, 243 (1997),  299–323  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 989–1006 15
1994
12. E. V. Frolova, “An initial-boundary value problem with a noncoercive boundary condition in domains with edges”, Zap. Nauchn. Sem. POMI, 213 (1994),  206–223  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 948–959 8
1991
13. V. A. Solonnikov, E. V. Frolova, “On a non-stationary problem in a dihedral angle. II”, Zap. Nauchn. Sem. LOMI, 188 (1991),  178–185  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1841–1846 4
14. E. V. Frolova, “On a non-stationary problem in a dihedral angle. I”, Zap. Nauchn. Sem. LOMI, 188 (1991),  159–177  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1828–1840 1
1990
15. V. A. Solonnikov, E. V. Frolova, “A problem with the third boundary condition for the Laplace equation in a plane angle and its applications to parabolic problems”, Algebra i Analiz, 2:4 (1990),  213–241  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 891–916 4
16. V. A. Solonnikov, E. V. Frolova, “Investigation of a boundary value problem in a plane infinite wedge for the Laplacean with the boundary condition of a special type”, Zap. Nauchn. Sem. LOMI, 182 (1990),  149–167  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2819–2831 3
2023
17. G. I. Bizhanova, I. V. Denisova, A. I. Nazarov, K. I. Pileckas, V. V. Pukhnachev, S. I. Repin, J.-F. Rodrigues, G. A. Seregin, N. N. Uraltseva, E. V. Frolova, “On the 90th birthday of Vsevolod Alekseevich Solonnikov”, Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198  mathnet  mathscinet; Russian Math. Surveys, 78:5 (2023), 971–981  isi
2008
18. I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Solonnikov's jubilee”, Zap. Nauchn. Sem. POMI, 362 (2008),  5–14  mathnet  zmath; J. Math. Sci. (N. Y.), 159:4 (2009), 385–390  scopus 2
2003
19. I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova, “To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee”, Zap. Nauchn. Sem. POMI, 306 (2003),  7–15  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:4 (2005), 4775–4779 3

Presentations in Math-Net.Ru
1. Problem of magnetohydrodynamics for two liquids and its generalization for multidimensional space.
E. V. Frolova
V. I. Smirnov Seminar on Mathematical Physics
May 17, 2021 16:30   

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