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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
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Hardcover ISBN: 978-0-8218-4997-2
Product Code: TRANS2/229
List Price: $133.00 MAA Member Price:$119.70
AMS Member Price: $106.40 Electronic ISBN: 978-1-4704-1829-8 Product Code: TRANS2/229.E List Price:$125.00
MAA Member Price: $112.50 AMS Member Price:$100.00
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List Price: $199.50 MAA Member Price:$179.55
AMS Member Price: $159.60 Click above image for expanded view 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 Available Formats:  Hardcover ISBN: 978-0-8218-4997-2 Product Code: TRANS2/229  List Price:$133.00 MAA Member Price: $119.70 AMS Member Price:$106.40
 Electronic ISBN: 978-1-4704-1829-8 Product Code: TRANS2/229.E
 List Price: $125.00 MAA Member Price:$112.50 AMS Member Price: $100.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$199.50 MAA Member Price: $179.55 AMS Member Price:$159.60
• Book Details

American Mathematical Society Translations - Series 2
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.

Graduate students and research mathematicians interested in differential equations.

• Cover
• Title page
• Photographs
• Contents
• Preface
• Regularity below the 𝐶² threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations
• Signorini-type problem in ℝ^{ℕ} for a class of quadratic functionals
• A 2D-invariant of a theorem of Uraltseva and Urdaletova for higher order variational problems
• The linear Boltzmann equation with space periodic electric field
• Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations
• Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing
• Currents and curvature varifolds in continuum mechanics
• On classic solvability of the 𝑚-Hessian evolution equation
• About an example of N. N. Ural’tseva and weak uniqueness for elliptic operators
• On the fundamental solution of an elliptic equation in nondivergence form
• Boundary regularity for vectorial problems
• Attainability of infima in the critical Sobolev trace embedding theorem on manifolds
• Non-divergence elliptic equations of second order with unbounded drift
• Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid
• Back Cover

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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.

Graduate students and research mathematicians interested in differential equations.

• Cover
• Title page
• Photographs
• Contents
• Preface
• Regularity below the 𝐶² threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations
• Signorini-type problem in ℝ^{ℕ} for a class of quadratic functionals
• A 2D-invariant of a theorem of Uraltseva and Urdaletova for higher order variational problems
• The linear Boltzmann equation with space periodic electric field
• Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations
• Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing
• Currents and curvature varifolds in continuum mechanics
• On classic solvability of the 𝑚-Hessian evolution equation
• About an example of N. N. Ural’tseva and weak uniqueness for elliptic operators
• On the fundamental solution of an elliptic equation in nondivergence form
• Boundary regularity for vectorial problems
• Attainability of infima in the critical Sobolev trace embedding theorem on manifolds
• Non-divergence elliptic equations of second order with unbounded drift
• Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid
• Back Cover
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