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Hardcover ISBN:  9780821849972 
Product Code:  TRANS2/229 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470418298 
Product Code:  TRANS2/229.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821849972 
eBook ISBN:  9781470418298 
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 DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 229; 2010; 252 ppMSC: 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.
ReadershipGraduate 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 HamiltonJacobi equations

Arina Arkhipova — Signorinitype problem in $\mathbb {R}^N$ for a class of quadratic functionals

Michael Bildhauer and Martin Fuchs — A 2Dvariant of a theorem of Uraltseva and Urdaletova for higherorder 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 NavierStokes 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 — Nondivergence elliptic equations of second order with unbounded drift

V. V. Zhikov and S. E. Pastukhova — Global solvability of NavierStokes equations for a nonhomogeneous nonNewtonian fluid


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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.

Chapters

John Andersson, Henrik Shahgholian and Georg S. Weiss — Regularity below the $C^2$ threshold for a torsion problem, based on regularity for HamiltonJacobi equations

Arina Arkhipova — Signorinitype problem in $\mathbb {R}^N$ for a class of quadratic functionals

Michael Bildhauer and Martin Fuchs — A 2Dvariant of a theorem of Uraltseva and Urdaletova for higherorder 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 NavierStokes 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 — Nondivergence elliptic equations of second order with unbounded drift

V. V. Zhikov and S. E. Pastukhova — Global solvability of NavierStokes equations for a nonhomogeneous nonNewtonian fluid