About: Dynamical and geometric aspects of Hamilton-Jacobi and linearized Monge-Ampère equations, VIASM 2016   Goto Sponge  NotDistinct  Permalink

An Entity of Type : rdac:C10001, within Data Space : data.idref.fr associated with source document(s)

AttributesValues
type
Author
dc:subject
  • Actes de congrès
  • Calculus of Variations and Optimal Control; Optimization
  • Partial Differential Equations
  • Partial differential equations
  • Differential Geometry
  • Differential geometry
  • Calculus of variations
  • Hamilton-Jacobi, Équations de
  • Monge-Ampère, Équations de
preferred label
  • Dynamical and geometric aspects of Hamilton-Jacobi and linearized Monge-Ampère equations, VIASM 2016
Language
Subject
dc:title
  • Dynamical and geometric aspects of Hamilton-Jacobi and linearized Monge-Ampère equations, VIASM 2016
Publishing director
note
  • 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 prescribed affine mean curvature equation, which can be viewed as a coupling of the latter two equations. Of interest in its own right, the linearized Monge–Ampère equation also has deep connections and applications in analysis, fluid mechanics and geometry, including the semi-geostrophic equations in atmospheric flows, the affine maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar curvature in complex geometry. Among other topics, the second part provides a thorough exposition of the large time behavior and discounted approximation of Hamilton–Jacobi equations, which have received much attention in the last two decades, and a new approach to the subject, the nonlinear adjoint method, is introduced. The appendix offers a short introduction to the theory of viscosity solutions of first-order Hamilton–Jacobi equations. .
dc:type
  • Text
http://iflastandar...bd/elements/P1001
rdaw:P10219
  • 2017
has content type
is primary topic of
is rdam:P30135 of
Faceted Search & Find service v1.13.91 as of Aug 16 2018


Alternative Linked Data Documents: ODE     Content Formats:       RDF       ODATA       Microdata      About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data]
OpenLink Virtuoso version 07.20.3229 as of May 14 2019, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (70 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software