Hamilton-Jacobi Equations: Theory and Applications - Couverture souple

Tran, Hung Vinh

Couverture souple

ISBN 10 : 1470465558 ISBN 13 : 9781470465551

Editeur : American Mathematical Society, 2022

Synopsis

This book gives an extensive survey of many important topics in the theory of Hamilton-Jacobi equations with particular emphasis on modern approaches and viewpoints. Firstly, the basic well-posedness theory of viscosity solutions for first-order Hamilton-Jacobi equations is covered. Then, the homogenization theory, a very active research topic since the late 1980s but not covered in any standard textbook, is discussed in depth. Afterwards, dynamical properties of solutions, the Aubry-Mather theory, and weak Kolmogorov-Arnold-Moser (KAM) theory are studied. Both dynamical and PDE approaches are introduced to investigate these theories. Connections between homogenization, dynamical aspects, and the optimal rate of convergence in homogenization theory are given as well.

The book is self-contained and is useful for a course or for references. It can also serve as a gentle introductory reference to the homogenization theory.

A propos du livre

À propos de l'auteur

Hung Vinh Tran, University of Wisconsin, Madison, WI.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2022
• Langue: anglais
• ISBN 10: 1470465558
• ISBN 13: 9781470465551
• Reliure: Broché
• Nombre de pages: 322
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible