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American Mathematical Society AMS Analysis of Monge-Ampere Equations - Math Graduate Book

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Description

This professional mathematical text from the American Mathematical Society provides a systematic analysis of the Monge-Ampere equation and its linearized versions. Designed for graduate studies, the book offers an extensive survey of fundamental results and essential techniques regarding the solvability, geometry, and regularity of these equations. Readers will find a modern treatment of boundary behaviors and a thorough look at both interior and boundary theories. The content covers diverse applications that impact various fields including geometry, fluid mechanics, meteorology, economics, and the calculus of variations. Starting from the basics, it builds a comprehensive foundation for advanced mathematical research and study.

Key Features

This American Mathematical Society publication provides a systematic analysis of the Monge-Ampere equation and its linearized forms.

The text offers an extensive survey of fundamental results and essential techniques for studying solvability and regularity.

Content includes a modern treatment of boundary behaviors and theories for both interior and boundary analysis.

The book describes applications in diverse fields such as fluid mechanics, meteorology, economics, and geometry.

Part of the Graduate Studies in Mathematics series, this volume is designed for advanced mathematical research.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
17 April 2024
Listed Since
18 December 2023

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