Olga Arsenievna Oleinik - Publications of Olga Oleinik

Publications of Olga Oleinik

• Kozlov, S. M.; Oleinik, O. A.; Zhikov, V. V. (1994), Homogenization of differential operators and integral functionals, Berlin-Heidelberg-New York: Springer-Verlag, pp. xii+570, ISBN 3-540-54809-2, MR 1329546, Zbl 0838.35001
• Oleinik, Olga A. (1957), "Discontinuous solutions of non-linear differential equations" (in Russian), Uspekhi Matematicheskikh Nauk 12 (3(75)): 3–73, MR 94541, Zbl 0080.07701, http://mi.mathnet.ru/eng/umn/v12/i3/p3. 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 quasi-linear equation of first order by the introduction of "vanishing viscosity"" (in Russian), Uspekhi Matematicheskikh Nauk 14 (2(86)): 159–164, MR 117426, Zbl 0096.06603, http://mi.mathnet.ru/eng/umn/v14/i2/p159. 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" (in Russian), Doklady Akademii Nauk SSSR 135: 1050–1057, Zbl 0131.09202. 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 0-306-30751-0, MR 457907, Zbl 0217.41502 (reviews of the Russian edition).
• 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: North-Holland, pp. xiv+398, ISBN 0-444-88441-6, MR 1195131, Zbl 0768.73003.
• Oleinik, O. A.; Samokhin, V. N. (1999), Mathematical models in boundary layer theory, Applied Mathematics and Mathematical Computation, 15, London-Weinheim-New York-Tokyo-Melbourne-Madras: Chapman & Hall/CRC Press, pp. x+516, ISBN 1-58488-015-5, MR 1697762, Zbl 0928.76002, http://books.google.com/?id=8-CxE8VuDc4C&pg=PP1&dq=Mathematical+Models+in+boundary+layer+theory.