Olga Arsenievna Oleinik (em russo: Ольга Арсеньевна Олейник; Matusiv, 2 de julho de 1925 — Moscou, 13 de outubro de 2001) foi uma matemática ucraniana.
Conhecida por trabalhos sobre equações diferenciais parciais, meios elásticos não-homogêneos e teoria matemática da camada limite. Aluna de Ivan Petrovsky, estudou e trabalhou na Universidade Estatal de Moscou.
Kozlov, S.M.; Oleinik, O.A.; Zhikov, V.V. (1994), Homogenization of differential operators and integral functionals, ISBN 3-540-54809-2, Berlin-Heidelberg-New York: Springer-Verlag
Oleinik, Olga A. (1957), «Discontinuous solutions of non-linear differential equations», 'UMN', 12 (3(75)): 3–73 (em russo). An important paper where the author describes generalized solutions of nonlinear partial differential equations asBV functions.
Oleinik, Olga A. (1959), «Construction of a generalized solution of the Cauchy problem for a quasi-linear equation of first order by the introduction of "vanishing viscosity"», 'UMN', 14 (2(86)): 159–164 (em russo). An important paper where the author constructs a weak solution in BV for a nonlinear partial differential equation with the method of vanishing viscosity.
Oleinink, O.A. (1960), «A method of solution of the general Stefan problem», Doklady Akademii Nauk SSSR, 135: 1050–1057 (em russo). An important paper in the theory of the Stefan problem: for the first time and independently of 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, ISBN 0-306-30751-0, Nova Iorque e Londres / Providence, R.I.: Plenum Press / AMS, MR457907, (reviews of the Russian edition)
Oleinik, O.A.; Shamaev, A.S.; Yosifian, G.A. (1991), Mathematical problems in elasticity and homogenization, ISBN 0-444-88441-6, Studies in Mathematics and its Applications, 26, Amsterdam - Londres - Nova Iorque - Tóquio: North-Holland
Oleinik, O.A.; Samokhin, V.N. (1999), Mathematical models in boundary layer theory, ISBN 1-5848-8015-5, Applied Mathematics and Mathematical Computation, 15, Londres-Weinheim-Nova Iorque-Tóquio-Melbourne-Madras: Chapman & Hall/CRC Press .
Colautti Fichera, Matelda (dezembro 2006), ... ed è subito sera... La lunga, brevissima vita di Gaetano Fichera (The long, extremely short life of Gaetano Fichera), Roma: Edição de autor (em italiano). 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, Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik - May 18–20, 2006, Berkeley, CA: Association for Women in Mathematics (AWM) e MSRI, consultado em 7 de fevereiro de 2021 . 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 . An ample commemorative paper written by three friends/collaborators.
Nirenberg, Louis (2004), «About Olga Arsen'evna Oleinik», Journal of Mathematical Sciences, 120 (3 / March), doi:10.1023/B:JOTH.0000016045.00993.ef . A short obituary notice by Louis Nirenberg.
Synge Morawetz, Cathleen (2006), «Early Memories of Olga Ladyzhenskaya and Olga Oleinik» (PDF), in: Kuperberg, Krystyna, Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik - May 18–20, 2006, Berkeley, CA: AWM and MSRI, consultado em 7 de fevereiro de 2021 . 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. (2003), «Ol'ga Arsen'evna Oleinik (obituary)», UMN', 58 (1(349)): 165–174, MR1992133 . An almost comprehensive obituary article: its English translation is published in the Russian Mathematical Surveys, 2003, 58:1, 161–17 (doi:10.1070/RM2003v058n01ABEH000607).
O'Connor, John J.; Robertson, Edmund F., «Olga Oleinik», MacTutor History of Mathematics archive (em inglês), Universidade de St. Andrews
Olga Oleinik (em inglês) no Mathematics Genealogy Project
"Olga Arsen'enva Oleinik" biography, in Biographies of Women Mathematicians, Agnes Scott College