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Hardcover ISBN:  9781470415518 
Product Code:  TRANS2/232 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
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Product Code:  TRANS2/232.E 
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MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9781470415518 
eBook ISBN:  9781470417192 
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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 MittagLeffler, 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 magnetogeostrophic equations.
ReadershipResearch mathematicians interested in partial differential equations and related topics.

Table of Contents

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 higherorder 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 magnetogeostrophic 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 normaltype parabolic system corresponding to the threedimensional 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 nondivergence parabolic equations with timediscontinuous coefficients

V. V. Pukhnachev — Singular solutions of NavierStokes 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


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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 MittagLeffler, 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 magnetogeostrophic 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 higherorder 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 magnetogeostrophic 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 normaltype parabolic system corresponding to the threedimensional 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 nondivergence parabolic equations with timediscontinuous coefficients

V. V. Pukhnachev — Singular solutions of NavierStokes 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