Nonlinear Partial Differential Equations and Related Topics(English, Hardcover, unknown)

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Nonlinear Partial Differential Equations and Related Topics(English, Hardcover, unknown) is written by unknown and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821849972 (ISBN 10) and 9780821849972 (ISBN 13).

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. Table of Contents: J. Andersson, H. Shahgholian, and G. S. Weiss -- Regularity below the $C^2$ threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations; A. Arkhipova -- Signorini-type problem in $\mathbb{R}^N$ for a class of quadratic functional; M. Bildhauer and M. Fuchs -- A 2D-invariant of a theorem of Uraltseva and Urdaletova for higher order variational problems; M. Bostan, I. M. Gamba, and T. Goudon -- The linear Boltzmann equation with space periodic electric field; L. Caffarelli and L. Silvestre -- Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations; P. Constantin and G. Seregin -- Holder continuity of solutions of 2D Navier-Stokes equations with singular forcing; M. Giaquinta, P. M. Mariano, G. Modica, and D. 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; V. Maz'ya and R. McOwen -- On the fundamental solution of an elliptic equation in nondivergence form; G. Mingione -- Boundary regularity for vectorial problems; A. Nazarov and A. 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. (TRANS2/229)