To Olga Aleksandrovna Ladyzhenskaya on the occasion of her jubilee

Journal of Mathematical Sciences - Tập 123 - Trang 4523-4526 - 2004

Tài liệu tham khảo

O. A. Ladyzhenskaya, “On the closure of the elliptic operator,” Dokl. Akad. Nauk SSSR, 79, No. 5, 723-725 (1951). O. A. Ladyzhenskaya, The Mixed Boundary-Value Problem for the Hyperbolic Equation [in Russian], Moscow (1953). O. A. Ladyzhenskaya, “On the solution of nonstationary operator equations of various types,” Dokl. Akad. Nauk SSSR, 102, No. 2, 207-210 (1955). O. A. Ladyzhenskaya, “On the solvability of the basic boundary-value problems for equations of parabolic and hyperbolic types,” Dokl. Akad. Nauk SSSR, 96, No. 3, 395-397 (1954). O. A. Ladyzhenskaya, “On the solution of the general problem in diffraction,” Dokl. Akad. Nauk SSSR, 96, No. 3, 433-436 (1954). O. A. Ladyzhenskaya, “The finite difference method in the theory of partial differential equations,” Usp. Mat. Nauk, 12(5), 123-148 (1957). O. A. Ladyzhenskaya and L. D. Faddeev, “To the theory of perturbations of the continuous spectrum,” Dokl. Akad. Nauk SSSR, 120, No. 6, 1187-1190 (1958). O. A. Ladyzhenskaya, “The first boundary-value problem for quasilinear parabolic equations,” Dokl. Akad. Nauk SSSR, 107, No. 5, 636-639 (1956). O. A. Ladyzhenskaya, “On differential properties of the generalized solutions of some multidimensional variational problems,” Dokl. Akad. Nauk SSSR, 120, No. 5, 956-959 (1958). A. A. Kiselev and O. A. Ladyzhenskaya, “On the solution of linearized equations of plane nonstationary flow of a viscous incompressible liquid,” Dokl. Akad. Nauk SSSR, 95, No. 6, 1161-1164 (1954). O. A. Ladyzhenskaya, “Solution “in the large” of the boundary-value problem for Navier–Stokes equations in the case of two space variables,” Dokl. Akad. Nauk SSSR, 123, No. 3, 427-429 (1958). O. A. Ladyzhenskaya, “Solution “in the large” of the nonstationary boundary-value problem for Navier–Stokes system with two space variables,” Comm. Pure Appl. Math., 12(3), 427-433 (1959). A. A. Kiselev and O. A. Ladyzhenskaya, “The existence and uniqueness of a solution of the nonstationary problem for a viscous incompressible liquid,” Izv. Akad. Nauk SSSR, Ser. Mat., 21(5), 665-680 (1957). O. A. Ladyzhenskaya, “The study of Navier-Stokes equations for stationary motion of an incompressible liquid,” Usp. Mat. Nauk, 15, 75-97 (1959). O. A. Ladyzhenskaya, Mathematical Problems in the Dynamics of Viscous Incompressible Liquids [in Russian], Moscow (1961). E. Hopf, “Ñber die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen,” Math. Nachrichten, 4, 213-231 (1950-1951). O. A. Ladyzhenskaya, Mathematical Problems in the Dynamics of Viscous Incompressible Liquids [in Russian], 2nd ed., Moscow (1970). E. De Giorgi, “Sulla differenziabilita e l'analitica delle estremali degli integrali multipli regolari,” Memorie delle Acc. Sci. Torino, Ser. 3, 3(1), 25-43 (1957). J. Nash, “Continuity of solutions of parabolic and elliptic equations,” Amer. J. Math., 80 (4), 931-954 (1958). O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Equations of Elliptic Type [in Russian], Nauka, Moscow (1964). O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967). O. A. Ladyzhenskaya and N. N. Uraltseva, “Local estimates for gradients of solutions of nonuniformly elliptic and parabolic equations,” Comm. Pure Appl. Math., 23, 677-703 (1970). O. A. Ladyzhenskaya, “On the dynamical system generated by Navier–Stokes equations,” Zap. Nauchn. Semin. LOMI, 27, 91-115 (1972). O. A. Ladyzhenskaya, “On the finite dimensionality of bounded invariant sets for Navier–Stokes systems and other dissipative systems,” Zap. Nauchn. Semin. LOMI, 115, 137-155 (1982). O. A. Ladyzhenskaya, Attractors for Semi-Groups and Evolution Equations, Cambridge Univ. Press, Cambridge (1991). O. A. Ladyzhenskaya, “New equations for description of motion of viscous incompressible liquids and the solvability in the large of boundary-value problems for these equations,” Trudy Steklov Mat. Inst., 102, 85-104 (1967). O. A. Ladyzhenskaya, “On modifications of Navier–Stokes equations for large gradients of velocities,” Zap. Nauchn. Semin. LOMI, 7, 125-154 (1968). O. A. Ladyzhenskaya and G. A. Seregin, “Smoothness of solutions of systems describing the flow of generalized Newtonian liquids and estimation of dimensions of their attractors,” Izv. Ross. Akad. Nauk, Ser. Mat., 62, No. 1, 59-122 (1998). O. A. Ladyzhenskaya and G. A. Seregin, “On disjointness of solutions to the MNS equations,” Trans. Amer. Math. Soc., 189, 159-179 (1999). N. M. Ivochkina and O. A. Ladyzhenskaya, “Estimation of the second-order derivatives on the boundary for hypersurfaces varying under the action of their principal curvatures,” Algebra Analiz, 9, 30-50 (1997). N. M. Ivochkina and O. A. Ladyzhenskaya, “Estimation of the first-order derivatives for the solutions of some classes of nonlinear parabolic equations,” Algebra Analiz, 9, 109-131 (1997). N. M. Ivochkina and O. A. Ladyzhenskaya, “On classical solvability of the first initial boundary-value problem for equations generated by curvatures,” TMNA, J. Juliusz Schauder Center, 11, 375-395 (1998).