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Princeton University Press Comparison Principles for PDEs (AMS-218)

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Description

Explore the connection between fully nonlinear partial differential equations and generalized potential theories with this specialized mathematical text. Published as part of the Annals of Mathematics Studies (Volume 218), this work provides a deep look into the productive relationship shared by these two fields. A primary objective of this book is to establish comparison principles for nonlinear potential theories in Euclidean spaces. It achieves this by using duality and monotonicity under the weakest possible notion of ellipticity. This approach offers a straightforward method for understanding complex mathematical structures. This volume is an essential resource for researchers and students focused on mathematical analysis and differential equations. It addresses important aspects of how these theories interact, making it a valuable addition to any academic library specializing in advanced mathematics.

Key Features

Examines the symbiotic relationship between fully nonlinear partial differential equations and generalized potential theories.

Provides methods to prove comparison principles for nonlinear potential theories in Euclidean spaces.

Utilizes duality and monotonicity to establish principles under the weakest possible notion of ellipticity.

Part of the prestigious Annals of Mathematics Studies series (AMS-218) from Princeton University Press.

Focuses on advanced mathematical analysis and the study of complex differential equations.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
03 October 2023
Listed Since
14 February 2023

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