Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations VIASM 2016 /

• Main Authors: Le, Nam Q. (Author), Mitake, Hiroyoshi (Editor), Tran, Hung V. (Editor)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2183
• Subjects: Mathematics.; Partial differential equations.; Differential geometry.; Calculus of variations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Differential Geometry.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge–Ampère and linearized Monge–Ampère equations. As an application, we solve the second boundary value problem of the prescribe...