Analysis of Monge-Ampere Equations: 240 (Graduate Studies in Mathematics) - Image 1

£116.00

American Mathematical Society Analysis of Monge-Ampere Equations: 240 (Graduate Studies in Mathematics)

Name: Analysis of Monge-Ampere Equations: 240 (Graduate Studies in Mathematics)
Brand: American Mathematical Society
Price: 116.0 GBP
Availability: InStock

Differential Equations

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Description

This book presents a systematic analysis of the Monge-Ampere equation, the linearized Monge-Ampere equation, and their applications, with emphasis on both interior and boundary theories. Starting from scratch, it gives an extensive survey of fundamental results, essential techniques, and intriguing phenomena in the solvability, geometry, and regularity of Monge-Ampere equations. It describes in depth diverse applications arising in geometry, fluid mechanics, meteorology, economics, and the calculus of variations. The modern treatment of boundary behaviors of solutions to Monge-Ampere equations, a very important topic of the theory, is thoroughly discussed. The book synthesizes many important recent advances, including Savin's boundary localization theorem, spectral theory, and interior and boundary regularity in Sobolev and Holder spaces with optimal assumptions. It highlights geometric aspects of the theory and connections with adjacent research areas. This self-contained book provides the necessary background and techniques in convex geometry, real analysis, and partial differential equations, presents detailed proofs of all theorems, explains subtle constructions, and includes well over a hundred exercises. It can serve as an accessible text for graduate students as well as researchers interested in this subject.

Product Specifications

Brand: American Mathematical Society
Format: hardcover
ASIN: 1470474204
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 17 April 2024
Listed Since: 18 December 2023

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American Mathematical Society Analysis of Monge-Ampere Equations: 240 (Graduate Studies in Mathematics)

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