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

VIASM 2016

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran ISBN: 9783319542089
Publisher: Springer International Publishing Publication: June 14, 2017
Imprint: Springer Language: English
Author: Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
ISBN: 9783319542089
Publisher: Springer International Publishing
Publication: June 14, 2017
Imprint: Springer
Language: English

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.

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

 

More books from Springer International Publishing

Cover of the book Cultural Intermediaries by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Hematologic Abnormalities and Acute Lung Syndromes by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Advances in Applied Economic Research by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Nano-Publics by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Human Aspects of IT for the Aged Population. Acceptance, Communication and Participation by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book The Late Triassic World by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Enterprise and Organizational Modeling and Simulation by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Attachment Structures and Adhesive Secretions in Arachnids by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Eurokarst 2018, Besançon by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Computer-Assisted Musculoskeletal Surgery by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book E-Learning, E-Education, and Online Training by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Correct Software in Web Applications and Web Services by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Transparency in Social Media by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book English Language Education Policy in the Middle East and North Africa by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
Cover of the book Chronic Postsurgical Pain by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy