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| Hardcover ISBN: | 978-1-4704-1551-8 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Volume: 232; 2014; 270 ppMSC: Primary 35; 76
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.
ReadershipResearch mathematicians interested in partial differential equations and related topics.
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Table of Contents
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Chapters
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H. Beirão da Veiga — On singular parabolic $p$-Laplacian systems under nonsmooth external forces. Regularity up to the boundary
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S. Boccia and N. Krylov — On the fundamental matrix solution for higher-order parabolic systems
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N. V. Filimonenkova and N. M. Ivochkina — On variational ground of the $m$-Hessian operators
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S. Friedlander, W. Rusin and V. Vicol — The magneto-geostrophic equations: a survey
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M. Fuchs — Variations on Liouville’s theorem in the setting of stationary flows of generalized Newtonian fluids in the plane
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A. V. Fursikov — On the normal-type parabolic system corresponding to the three-dimensional Helmholtz system
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M. del Mar Gonzalez, M. Gualdani and H. Shahgholian — A discrete Bernoulli free boundary problem
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S. Hildebrandt and F. Sauvigny — On Plateau’s problem in Riemannian manifolds
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H. Kim and M. Safonov — The boundary Harnack principle for second order elliptic equations in John and uniform domains
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V. Kozlov and A. Nazarov — Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients
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V. V. Pukhnachev — Singular solutions of Navier-Stokes equations
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G. A. Seregin and T. N. Shilkin — The local regularity theory for the Navier–Stokes equations near the boundary
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V. A. Solonnikov — $L_p$-theory of free boundary problems of magnetohydrodynamics in simply connected domains
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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.
Research mathematicians interested in partial differential equations and related topics.
-
Chapters
-
H. Beirão da Veiga — On singular parabolic $p$-Laplacian systems under nonsmooth external forces. Regularity up to the boundary
-
S. Boccia and N. Krylov — On the fundamental matrix solution for higher-order parabolic systems
-
N. V. Filimonenkova and N. M. Ivochkina — On variational ground of the $m$-Hessian operators
-
S. Friedlander, W. Rusin and V. Vicol — The magneto-geostrophic equations: a survey
-
M. Fuchs — Variations on Liouville’s theorem in the setting of stationary flows of generalized Newtonian fluids in the plane
-
A. V. Fursikov — On the normal-type parabolic system corresponding to the three-dimensional Helmholtz system
-
M. del Mar Gonzalez, M. Gualdani and H. Shahgholian — A discrete Bernoulli free boundary problem
-
S. Hildebrandt and F. Sauvigny — On Plateau’s problem in Riemannian manifolds
-
H. Kim and M. Safonov — The boundary Harnack principle for second order elliptic equations in John and uniform domains
-
V. Kozlov and A. Nazarov — Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients
-
V. V. Pukhnachev — Singular solutions of Navier-Stokes equations
-
G. A. Seregin and T. N. Shilkin — The local regularity theory for the Navier–Stokes equations near the boundary
-
V. A. Solonnikov — $L_p$-theory of free boundary problems of magnetohydrodynamics in simply connected domains
