To the 70th anniversary of Nina Nikolaevna Ural'tseva
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 7-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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Nina Nikolaevna Uraltseva is a world-renowed specialist in the field of nonlinear partial differential equations. She has obtained fundamental results in the theory of elliptic and parabolic equations and variational inequalities. She is the author of more than 100 scientific works and three monographs [1–3]. These monographs are well known in the world; they were translated in the USA, France, and China. These books are widely used by all specialists in partial differential equations.
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A. A. Arkhipova; G. A. Seregin. To the 70th anniversary of Nina Nikolaevna Ural'tseva. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Tome 310 (2004), pp. 7-18. http://geodesic.mathdoc.fr/item/ZNSL_2004_310_a0/

[1] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, Moskva, 1964 | MR

[2] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, vtoroe pererabotannoe izdanie, Nauka, Moskva, 1973 | MR

[3] O. A. Ladyzhenskaya, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, Moskva, 1967

[4] V. A. Solonnikov, N. N. Uraltseva, “Obobschennye proizvodnye i prostranstva Soboleva”, Izbrannye glavy analiza i vysshei algebry, izd-vo LGU, 1981

[5] E. De Giorgi, “Sulla differenziabilita e l'analiticita delle estremali degli integrali multipli regolari”, Memorie delle Acc.Sci. Torino, Ser. 3, 3, 1957, 25–43 | MR | Zbl

[6] J. Nash, “Continuity of solutions of parabolic and elliptic equations”, Amer. J. Math., 80:4 (1958), 931–954 | DOI | MR | Zbl

[7] N. N. Uraltseva, “O regulyarnosti reshenii mnogomernykh ellipticheskikh uravnenii”, DAN SSSR, 130:6 (1960)

[8] N. N. Uraltseva, “Kraevye zadachi dlya kvazilineinykh ellipticheskikh uravnenii i sistem s divergentnoi glavnoi chastyu”, DAN SSSR, 147:2 (1962)

[9] O. A. Ladyzhenskaya, N. N. Uraltseva, “On the smoothness of weak solutions of quasilinear equations in several variables and of variational problems”, Comm. Pure Appl. Math., 14 (1961), 481–495 | DOI | MR | Zbl

[10] K. Tulenbaev, N. N. Uraltseva, “Nelineinaya kraevaya zadacha dlya ellipticheskikh uravnenii obschego vida”, Differentsialnye uravneniya s chastnymi proizvodnymi, Izd-vo IM SO AN SSSR, 1988

[11] N. N. Uraltseva, “Otsenki proizvodnykh dlya reshenii polnostyu nelineinoi parabolicheskoi zadachi s kosoi proizvodnoi”, Zap. nauchn. semin. LOMI, 188, 1991, 143–158 | MR

[12] A. I. Nazarov, N. N. Uraltseva, “Zadacha s kosoi proizvodnoi dlya kvazilineinogo parabolicheskogo uravneniya s osobennostyami”, Zap. nauchn. semin. LOMI, 200, 1992, 118–131 | MR

[13] N. N. Uraltseva, “O silnykh resheniyakh obobschennoi zadachi Sinorini”, Sib. mat. zhurn., XIX:5 (1978) | MR

[14] N. N. Uraltseva, “Nepreryvnost po Gelderu gradientov reshenii parabolicheskikh uravnenii pri granichnom uslovii tipa Sinorini”, DAN SSSR, 280:3 (1985) | MR

[15] A. A. Arkhipova, N. N. Uraltseva, “O suschestvovanii gladkikh reshenii zadach s vypuklymi ogranicheniyami na granitse oblasti dlya parabolicheskikh sistem”, Zap. nauchn. semin. LOMI, 171, 1988

[16] A. A. Arkhipova, N. N. Uraltseva, “Sharp estimates for solution of a parabolic Signorini problem”, Math. Nachr., 177 (1996) | DOI | MR | Zbl

[17] R. Schumann, “On the regularity of a contact boundary value problem”, Z. Anan. Anwend., 9:5 (1990) | MR | Zbl

[18] N. N. Uraltseva, “O regulyarnosti reshenii variatsionnykh neravenstv”, UMN, 42:6 (1987), 151–174 | MR | Zbl

[19] N. N. Uraltseva, “Vyrozhdayuschiesya kvazilineinye ellipticheskie sistemy”, Zap. nauchn. semin. LOMI, 7, 1968, 184–222

[20] O. A. Ladyzenskaya, N. N. Uraltseva, “Local estimates for solutions of nonuniformly elliptic and parabolic equations”, Comm. on Pure and Appl. Math., XVIII (1970)

[21] O. A. Ladyzhenskaya, N. N. Uraltseva, “Lokalnye otsenki gradientov reshenii prosteishei regulyarizatsii nekotorogo klassa neravnomerno ellipticheskikh uravnenii”, Zap. nauchn. semin. LOMI, 213, 1994, 75–92 | MR

[22] N. N. Uraltseva, “Razreshimost zadachi o kapillyarakh”, Vestnik LGU, ser. matem., 19 (1973)

[23] N. N. Uraltseva, “Razreshimost zadachi o kapillyarakh. Ch. 2”, Vestnik LGU, ser. matem., 1 (1975)

[24] N. N. Uraltseva, “Ob otsenkakh maksimumov modulei gradientov reshenii zadach kapillyarnosti”, Zap. nauchn. semin. LOMI, 115, 1981

[25] G. Huisken, “Nonparametric mean curvature with boundary conditions”, J. Diff. Eq., 77 (1989) | DOI | MR | Zbl

[26] V. Oliker, N. N. Uraltseva, “Evolution of nonparametric surface with speed depending on curvature. II: The mean curvature case”, Comm on Pure Appl. Math., 46:1 (1993), 97–135 | DOI | MR | Zbl

[27] V. Oliker, N. Uraltseva, “Evolution of nonparametric surface with speed depending on curvature. III: Some remarks on mean curvature and anisotropic flows”, Proceedings of the IMA workshop, IMA volumes in Math. and Applic., 47, Springer-Verlag, New York, 1993, 141–156 | MR | Zbl

[28] V. Oliker, N. N. Uraltseva, “Long time behavior of flows moving by mean curvature”, Nonlinear Evolution Equations, AMS Translations, ser. 2, 164, AMS, Providence, RI, 1995, 163–170 | MR

[29] V. Oliker, N. N. Uraltseva, “Long time behavior of flows moving by mean curvature, II”, Topological Methods in Nonlinear Analysis, 9 (1997), 17–28 | MR | Zbl

[30] L. A. Caffarelli, “The regularity of free boundaries in higher dimensions”, Acta Math., 139 (1977) | DOI | MR

[31] H. Shahgholian, N. N. Uraltseva, “Regularity properties of a free boundary contact points with the fixed boundary”, Duke Math. J., 116:1 (2003), 1–34 | DOI | MR | Zbl

[32] D. Apushkinskaya, N. N. Uraltseva, H. Shahgholian, “On the global solutions of the parabolic obstacle problem”, St.Petersburg Math. J., 14:1 (2003) | MR