**American Mathematical Society Translations - Series 2**

2014;
270 pp;
Hardcover

MSC: Primary 35; 76;

Print ISBN: 978-1-4704-1551-8

Product Code: TRANS2/232

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

**Electronic ISBN: 978-1-4704-1719-2
Product Code: TRANS2/232.E**

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

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# Proceedings of the St. Petersburg Mathematical Society, Volume XV: Advances in Mathematical Analysis of Partial Differential Equations

Share this page *Edited by *
*Darya Apushkinskaya; Alexander I. Nazarov*

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.

#### Readership

Research mathematicians interested in partial differential equations and related topics.

# Table of Contents

## Proceedings of the St. Petersburg Mathematical Society, Volume XV: Advances in Mathematical Analysis of Partial Differential Equations

- Cover Cover11
- Frontispiece ii3
- Title page iii4
- Copyright page iv5
- Contents vii8
- Preface ix10
- On singular parabolic 𝑝-Laplacian systems under nonsmooth external forces. Regularity up to the boundary 112
- On the fundamental matrix solution for higher-order parabolic systems 1122
- On variational ground of the 𝑚-Hessian operators 3546
- The magneto-geostrophic equations: a survey 5364
- Variations on Liouville’s theorem in the setting of stationary flows of generalized Newtonian fluids in the plane 7990
- On the normal-type parabolic system corresponding to the three-dimensional Helmholtz system 99110
- A discrete Bernoulli free boundary problem 119130
- On Plateau’s problem in Riemannian manifolds 141152
- The boundary Harnack principle for second order elliptic equations in John and uniform domains 153164
- Oblique derivative problem for non-divergence parabolic equations with time-discontinuous coefficients 177188
- Singular solutions of Navier-Stokes equations 193204
- The local regularity theory for the Navier–Stokes equations near the boundary 219230
- 𝐿_{𝑝}-theory of free boundary problems of magnetohydrodynamics in simply connected domains 245256
- Back Cover Back Cover1282