Olga Oleinik
Olga Arsenievna Oleinik  

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Olga Arsenievna Oleinik in Nice, 1970


Born  Matusiv, Shpola Raion, Ukrainian SSR, Soviet Union 
2 July 1925
Died  13 October 2001 Moscow, Russia 
(aged 76)
Nationality  Soviet 
Fields  Mathematics 
Institutions  Moscow State University 
Alma mater  Moscow State University, 1954 (PhD) 
Doctoral advisor  Ivan Petrovsky 
Known for  Theory of elasticity, partial differential equations, boundary layer theory, weak solutions of nonlinear differential equations 
Influenced  Theory of elasticity, partial differential equations, boundary layer theory, weak solutions of nonlinear differential equations 
Notable awards  1952 Chebotarev Prize, 1964 Lomonosov Prize, 1988 USSR State Prize, 1995 Petrowsky Prize, Prize of the Russian Academy of Sciences 
Olga Arsenievna Oleinik (Russian: О́льга Арсе́ньевна Оле́йник) (2 July 1925 – 13 October 2001) was a Soviet mathematician who conducted pioneering work on the theory of partial differential equations, the theory of strongly inhomogeneous elastic media, and the mathematical theory of boundary layers. She was a student of Ivan Petrovsky. She studied and worked at the Moscow State University.
She received many prizes for her remarkable contributions: the Chebotarev Prize in 1952; the Lomonosov Prize in 1964; the State Prize 1988; the Petrowsky Prize in 1995; and the Prize of the Russian Academy of Sciences in 1995. Also she was member of several foreign academies of sciences, and earned several honorary degrees.
Contents
Life
On May 2, 1985 Olga Oleinik was awarded the laurea honoris causa by the Sapienza University of Rome, jointly with Fritz John.^{[1]}
Work
Research activity
She authored more than 370 mathematical publications and 8 monographs, as the sole author or in collaboration with others: her work covers algebraic geometry, the theory of partial differential equations where her work enlightened various aspects, elasticity theory and boundary layers theory.
Teaching activity
She was an enthusiast and very active teacher, advising the thesis of 57 "candidates".
Selected publications of Olga Oleinik
 Oleinik, Olga A. (1957), "Discontinuous solutions of nonlinear differential equations", Uspekhi Matematicheskikh Nauk (in Russian), 12 (3(75)): 3–73, MR 0094541, Zbl 0080.07701CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An important paper where the author describes generalized solutions of nonlinear partial differential equations as BV functions.
 Oleinik, Olga A. (1959), "Construction of a generalized solution of the Cauchy problem for a quasilinear equation of first order by the introduction of "vanishing viscosity"", Uspekhi Matematicheskikh Nauk (in Russian), 14 (2(86)): 159–164, MR 0117426, Zbl 0096.06603CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An important paper where the author constructs a weak solution in BV for a nonlinear partial differential equation with the method of vanishing viscosity.
 Oleinik, O. A. (1960), "A method of solution of the general Stefan problem", Doklady Akademii Nauk SSSR (in Russian), 135: 1050–1057, Zbl 0131.09202CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An important paper in the theory of the Stefan problem: generalizing earlier work of her doctoral student S. L. Kamenomostskaya, the author proves the existence of a generalized solution for the multi dimensional model.
 Oleinik, Olga A.; Radkevich, Evgenii V. (1973), Second order equations with nonnegative characteristic form, New York and London / Providence, R.I.: Plenum Press / AMS, pp. vii+259, ISBN 0306307510, MR 0457907, Zbl 0217.41502<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> (reviews of the Russian edition).
 Oleinik, Olga Arsenievna; Kondratiev, Vladimir Alexandrovitch (1989), "On Korn's inequalities", Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série I: Mathématiques, 308 (16): 483–487, MR 0995908, Zbl 0698.35067<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 Cioranescu, Doina; Oleinik, Olga Arsenievna; Tronel, Gérard (1989), "On Korn's inequalities for frame type structures and junctions", Comptes rendus hebdomadaires des séances de l'Académie des Sciences, Série I: Mathématiques, 309 (9): 591–596, MR 1053284, Zbl 0937.35502<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 Oleinik, O. A.; Shamaev, A. S.; Yosifian, G. A. (1991), Mathematical problems in elasticity and homogenization, Studies in Mathematics and its Applications, 26, Amsterdam – London – New York – Tokyo: NorthHolland, pp. xiv+398, ISBN 0444884416, MR 1195131, Zbl 0768.73003<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 Oleinik, Olga A. (1992), "Korn's Type inequalities and applications to elasticity", in Amaldi, E.; Amerio, L.; Fichera, G.; Gregory, T.; Grioli, G.; Martinelli, E.; Montalenti, G.; Pignedoli, A.; Salvini, Giorgio; Scorza Dragoni, Giuseppe (eds.), Convegno internazionale in memoria di Vito Volterra (8–11 ottobre 1990), Atti dei Convegni Lincei (in Italian), 92, Roma: Accademia Nazionale dei Lincei, pp. 183–209, ISSN 0391805X, MR 1783034, Zbl 0972.35013. Check
zbl=
value (help)CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.  Kozlov, S. M.; Oleinik, O. A.; Zhikov, V. V. (1994), Homogenization of differential operators and integral functionals, BerlinHeidelbergNew York: SpringerVerlag, pp. xii+570, ISBN 3540548092, MR 1329546, Zbl 0838.35001<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 Oleinik, O. A.; Samokhin, V. N. (1999), Mathematical models in boundary layer theory, Applied Mathematics and Mathematical Computation, 15, LondonWeinheimNew YorkTokyoMelbourneMadras: Chapman & Hall/CRC Press, pp. x+516, ISBN 1584880155, MR 1697762, Zbl 0928.76002<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
See also
 Boundary layer
 Bounded variation
 Elasticity theory
 Homogenization
 Partial differential equations
 Stefan problem
 Weak solutions
Notes
 ↑ See (VernacchiaGalli 1986, pp. 845–855).
References
Biographical and general references
 Colautti Fichera, Matelda (December 2006), ... ed è subito sera... La lunga, brevissima vita di Gaetano Fichera (The long, extremely short life of Gaetano Fichera) (in Italian), Roma: Selfpublished, p. 217CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. The story of the life of Gaetano Fichera written by his wife, Matelda Colautti Fichera: this reference is important for understanding the friendship between Olga Oleinik, Gaetano Fichera and his wife.
 Friedlander, Susan; Keyfitz, Barbara (2006), "Olga Ladyzhenskaya and Olga Oleinik: Two Great Women Mathematicians of the 20th Century" (PDF), in Kuperberg, Krystyna (ed.), Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik – May 18–20, 2006, Berkeley, CA: AWM and MSRI, retrieved 1 July 2009<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. Some recollections of the authors about Olga Ladyzhenskaya and Olga Oleinik.
 Jäger, Willi; Lax, Peter; Synge Morawetz, Cathleen (2003), "Olga Arsen'evna Oleĭnik (1925–2001)" (PDF), Notices of the American Mathematical Society, 50 (2): 220–223, MR 1951108, Zbl 1159.01335<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An ample commemorative paper written by three friends/collaborators.
 Magenes, E. (1996), "On the scientific work of Olga Oleinik", Rendiconti di Matematica e delle Sue Applicazioni, Serie VII, 16 (3): 347–373, MR 1422388, Zbl 0861.35002CS1 maint: extra punctuation (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles> (Available at the Internet Archive).
 Nirenberg, Louis (March 2004), "About Olga Arsen'evna Oleinik", Journal of Mathematical Sciences, 120 (3): 1241, doi:10.1023/B:JOTH.0000016045.00993.ef, MR 2085177, Zbl pre02193468 Check
zbl=
value (help)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. A short obituary notice by Louis Nirenberg.  Synge Morawetz, Cathleen (2006), "Early Memories of Olga Ladyzhenskaya and Olga Oleinik" (PDF), in Kuperberg, Krystyna (ed.), Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik – May 18–20, 2006, Berkeley, CA: AWM and MSRI, retrieved 1 July 2009<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. Some recollections of the author about Olga Ladyzhenskaya and Olga Oleinik.
 Venttsel', T. D.; Vladimirov, V. S.; Zhikov, V. V.; Il'in, A. M.; Il'in, V. P.; Kondrat'ev, V. A.; Kudryavtsev, L. D.; Mishchenko, E. F.; Nikol'skii, S. M.; Osipov, Yu. S.; Radkevich, E. V.; Rozov, N. Kh.; Sadovnichii, V. A.; Faddeev, L. D.; Chechkin, G. A.; Shamaev, A. S.; Shaposhnikova, T. A.; Shkalikov, A. A. (2003), "Ol'ga Arsen'evna Oleinik (obituary)", Uspekhi Matematicheskikh Nauk, 58 (1(349)): 165–174, MR 1992133, Zbl 1050.01527<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. An almost comprehensive obituary article: its English translation is published in the Russian Mathematical Surveys as "Ol'ga Arsen'evna Oleinik", Russian Mathematical Surveys, 58 (1): 161–172, 2003, doi:10.1070/RM2003v058n01ABEH000607, MR 1992133, Zbl 1050.01527<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>.
 VernacchiaGalli, Jole (1986), "Olga Arsenievna Oleinik", Regesto delle lauree honoris causa dal 1944 al 1985, Studi e Fonti per la storia dell'Università di Roma (in Italian), 10, Roma: Edizioni Dell'Ateneo, pp. 845–855CS1 maint: unrecognized language (link)<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. The "regest of honoris causa degrees from 1944 to 1985" (English translation of the title) is itself a detailed and carefully commented regest of all the documents of the official archive of the Sapienza University of Rome pertaining to the honoris causa degrees awarded or not. It includes all the awarding proposals submitted during the considered period, detailed presentations of the work of the candidate, if available, and precise references to related articles published on Italian newspapers and magazines, if the laurea was awarded.
Scientific references
 Radkevich, E. V. (2009), "Equations with nonnegative characteristic form. I", Journal of Mathematical Sciences, 158 (3): 297–452, doi:10.1007/s1095800993942, MR 2675370, Zbl 1200.35158<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. This monograph consists of two volumes and is devoted to secondorder partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed.
 Radkevich, E. V. (2009), "Equations with nonnegative characteristic form. II", Journal of Mathematical Sciences, 158 (4): 453–604, doi:10.1007/s1095800993951, MR 2675371, Zbl 1200.35157<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. This monograph consists of two volumes and is devoted to secondorder partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed.
External links
 Kuperberg, Krystyna, ed. (2006), Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik – May 18–20, 2006, Berkeley, CA: AWM and MSRI, retrieved 1 July 2009<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. The proceedings of a workshop in honour of Olga Ladyzhenskaya and Olga Oleinik.
 O'Connor, John J.; Robertson, Edmund F., "Olga Oleinik", MacTutor History of Mathematics archive, University of St Andrews<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>..
 Olga Oleinik at the Mathematics Genealogy Project.
 Olga Oleinik at PlanetMath.org.
 Riddle, Larry, ed. (8 December 2010), Olga Arsen'enva Oleinik, retrieved 5 May 2011<templatestyles src="Module:Citation/CS1/styles.css"></templatestyles>. A biography in the Biographies of Women Mathematicians, Agnes Scott College.
 Use dmy dates from February 2013
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 Articles containing Russianlanguage text
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 Soviet mathematicians
 Women mathematicians
 1925 births
 2001 deaths
 20thcentury mathematicians
 Moscow State University alumni
 Moscow State University faculty
 Moscow Institute of Physics and Technology faculty
 Full Members of the Russian Academy of Sciences
 Recipients of the USSR State Prize
 Algebraic geometers
 Mathematical physicists
 PDE theorists
 20thcentury women scientists