Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Amp?re Equations, Hiroyoshi Mitake; Hung V. Tran; Nam Q. Le; Hiroyos
Автор: Cristian E. Gutierrez Название: The Monge—Amp?re Equation ISBN: 1461266564 ISBN-13(EAN): 9781461266563 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Monge-Ampere equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics.
Описание: Finite Difference Methods For Mean Field Games.- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications.- A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations.- Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations.
Автор: T. Aubin Название: Nonlinear Analysis on Manifolds. Monge-Amp?re Equations ISBN: 0387907041 ISBN-13(EAN): 9780387907048 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them.
Автор: Guti?rrez Название: The Monge-Amp?re Equation ISBN: 3319433725 ISBN-13(EAN): 9783319433721 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Now in its second edition, this monograph explores the Monge-Amp?re equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas and set decompositions. An effort is made to present complete proofs of all theorems, and examples and exercises are offered to further illustrate important concepts. Some of the topics considered include generalized solutions, non-divergence equations, cross sections, and convex solutions. New to this edition is a chapter on the linearized Monge-Amp?re equation and a chapter on interior H?lder estimates for second derivatives. Bibliographic notes, updated and expanded from the first edition, are included at the end of every chapter for further reading on Monge-Amp?re-type equations and their diverse applications in the areas of differential geometry, the calculus of variations, optimization problems, optimal mass transport, and geometric optics. Both researchers and graduate students working on nonlinear differential equations and their applications will find this to be a useful and concise resource.
