Includes bibliographical references. "This book presents the proceedings of the international workshop, "Advances in Mathematical Analysis of Partial Differential Equations" held at the Institut Mittag-Leffler, Stockholm, Sweden, July 9-13, 2012, dedicated to the memory of the outstanding Russian mathematician Olga A. Ladyzhenskaya. The volume contains papers that engage a wide set of modern topics in the theory of linear and nonlinear partial differential equations and applications, including variational and free boundary problems, mathematical problems of hydrodynamics, and magneto-geostrophic equations."--Back cover.
Contents:
Lp-theory of free boundry problems of magnetohydrodynamics in simply connected domains/ V.A. Solonnikov. On the fundamental matrix solution for higher-order parabolic systems / S. Boccia and N.V. Krylov -- On varaitional ground of the m-Hessian operators/ N.V. Filimonenkova and N. M. Ivochkina -- The magneto-geostrophic equations: a survey / S. Friedlander, W. Rusin, and V. Vicol -- Variations on Liouville's theorem in the setting of stationary flows of generalized Newtonian fluids in the plane / M. Fuchs -- On the normal-type paranolic system corresponding to the three-dimensional Helmholtz system/ A. V. Fursikov -- A discrete Bernoulli free boundry problem/ M. del Mar Gonzalez, M. Gualdani, and H. Shahgholian -- On Plateau's problem in Riemannian manifolds/ S. Hilderbrandt and F. Sauvigny -- The boundry Harnack principle for second order elliptic equations in John and uniform domains/ H. Kim and M. Safonov -- Oblique derivative problem for non-divergence prabolic equations with time-discontinuous coefficients/ V. Kozlov and A. Nazarov -- Singular solutions of Navier-Stokes equations/ V.V. Pukhnachev -- The local regularity theory for the Navier-Stokes equations near the boundary / G.A. Seregin and T.N. Shilkin -- Lp-theory of free boundry problems of magnetohydrodynamics in simply connected domains/ V.A. Solonnikov.
Series:
American Mathematical Society translations, 0065-9290 ; ser. 2, v.232.
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