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Nonlinear Partial Differential Equations and Related Topics: Dedicated to Nina N. Uraltseva
 
Edited by: Arina A. Arkhipova St. Petersburg State University, St. Petersburg, Russia
Alexander I. Nazarov St. Petersburg State University, St. Petersburg, Russia
Nonlinear Partial Differential Equations and Related Topics
Hardcover ISBN:  978-0-8218-4997-2
Product Code:  TRANS2/229
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-1829-8
Product Code:  TRANS2/229.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-4997-2
eBook: ISBN:  978-1-4704-1829-8
Product Code:  TRANS2/229.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Nonlinear Partial Differential Equations and Related Topics
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Nonlinear Partial Differential Equations and Related Topics: Dedicated to Nina N. Uraltseva
Edited by: Arina A. Arkhipova St. Petersburg State University, St. Petersburg, Russia
Alexander I. Nazarov St. Petersburg State University, St. Petersburg, Russia
Hardcover ISBN:  978-0-8218-4997-2
Product Code:  TRANS2/229
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-1829-8
Product Code:  TRANS2/229.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-4997-2
eBook ISBN:  978-1-4704-1829-8
Product Code:  TRANS2/229.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 2292010; 252 pp
    MSC: Primary 35

    This book contains papers that engage a wide set of classical and modern topics in partial differential equations, including linear and nonlinear equations, variational problems, the Navier–Stokes system, and the Boltzmann equation. The results include existence and uniqueness theorems, qualitative properties of solutions, a priori estimates, and nonexistence theorems.

    Readership

    Graduate students and research mathematicians interested in differential equations.

  • Table of Contents
     
     
    • Chapters
    • John Andersson, Henrik Shahgholian and Georg S. Weiss — Regularity below the $C^2$ threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations
    • Arina Arkhipova — Signorini-type problem in $\mathbb {R}^N$ for a class of quadratic functionals
    • Michael Bildhauer and Martin Fuchs — A 2D-variant of a theorem of Uraltseva and Urdaletova for higher-order variational problems
    • Mihai Bostan, Irene M. Gamba and Thierry Goudon — The linear Boltzmann equation with space periodic electric field
    • Luis Caffarelli and Luis Silvestre — Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations
    • Peter Constantin and Gregory Seregin — Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing
    • Mariano Giaquinta, Paolo Maria Mariano, Giuseppe Modica and Domenico Mucci — Currents and curvature varifolds in continuum mechanics
    • N. M. Ivochkina — On classic solvability of the $m$-Hessian evolution equation
    • N. V. Krylov — About an example of N. N. Ural’tseva and weak uniqueness for elliptic operators
    • Vladimir Maz’ya and Robert McOwen — On the fundamental solution of an elliptic equation in nondivergence form
    • Giuseppe Mingione — Boundary regularity for vectorial problems
    • Alexander Nazarov and Alexander Reznikov — Attainability of infima in the critical Sobolev trace embedding theorem on manifolds
    • M. V. Safonov — Non-divergence elliptic equations of second order with unbounded drift
    • V. V. Zhikov and S. E. Pastukhova — Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 2292010; 252 pp
MSC: Primary 35

This book contains papers that engage a wide set of classical and modern topics in partial differential equations, including linear and nonlinear equations, variational problems, the Navier–Stokes system, and the Boltzmann equation. The results include existence and uniqueness theorems, qualitative properties of solutions, a priori estimates, and nonexistence theorems.

Readership

Graduate students and research mathematicians interested in differential equations.

  • Chapters
  • John Andersson, Henrik Shahgholian and Georg S. Weiss — Regularity below the $C^2$ threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations
  • Arina Arkhipova — Signorini-type problem in $\mathbb {R}^N$ for a class of quadratic functionals
  • Michael Bildhauer and Martin Fuchs — A 2D-variant of a theorem of Uraltseva and Urdaletova for higher-order variational problems
  • Mihai Bostan, Irene M. Gamba and Thierry Goudon — The linear Boltzmann equation with space periodic electric field
  • Luis Caffarelli and Luis Silvestre — Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations
  • Peter Constantin and Gregory Seregin — Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing
  • Mariano Giaquinta, Paolo Maria Mariano, Giuseppe Modica and Domenico Mucci — Currents and curvature varifolds in continuum mechanics
  • N. M. Ivochkina — On classic solvability of the $m$-Hessian evolution equation
  • N. V. Krylov — About an example of N. N. Ural’tseva and weak uniqueness for elliptic operators
  • Vladimir Maz’ya and Robert McOwen — On the fundamental solution of an elliptic equation in nondivergence form
  • Giuseppe Mingione — Boundary regularity for vectorial problems
  • Alexander Nazarov and Alexander Reznikov — Attainability of infima in the critical Sobolev trace embedding theorem on manifolds
  • M. V. Safonov — Non-divergence elliptic equations of second order with unbounded drift
  • V. V. Zhikov and S. E. Pastukhova — Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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