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

Price loading...

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

Differential Equations

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

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

Barcode

No barcode data available

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

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Analysis of Monge-Ampere Equations: 240.S (Graduate Studies in Mathematics)

Nonlinear Analysis on Manifolds. Monge-Ampère Equations: 252 (Grundlehren der mathematischen Wissenschaften, 252)

The Monge-Ampère Equation: 89 (Progress in Nonlinear Differential Equations and Their Applications, 89)

The Monge-Ampère Equation: 89 (Progress in Nonlinear Differential Equations and Their Applications, 89)

Nonlinear Elliptic Equations of the Second Order (Graduate Studies in Mathematics)

Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

Lectures on Navier-Stokes Equations (Graduate Studies in Mathematics)

The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations: An Introduction (Graduate Studies in Mathematics)

Lectures on Linear Partial Differential Equations (Graduate Studies in Mathematics)

Geometric Theory of Incompressible Flows with Applications to Fluid Dynamics (Mathematical Surveys & Monographs)

Linear and Quasilinear Parabolic Systems: Sobolev Space Theory (Mathematical Surveys and Monographs)

Intermittent Convex Integration for the 3D Euler Equations: (AMS-217) (Annals of Mathematics Studies, 217)

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM–154) (Annals of Mathematics Studies, 154)

Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys and Monographs)

Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations (Mathematical Surveys and Monographs)

Ordinary Differential Equations and Dynamical Systems (Graduate Studies in Mathematics)

Function Theory of One Complex Variable (Graduate Studies in Mathematics)

Partial Differential Equations: An Accessible Route Through Theory and Applications (Graduate Studies in Mathematics)

Hamilton-Jacobi Equations: Theory and Applications (Graduate Studies in Mathematics)

Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys and Monographs)

Linear and Quasi-linear Evolution Equations in Hilbert Spaces (Graduate Studies in Mathematics, Vol. 135)

Springer - The Beltrami Equation: A Geometric Approach, Vol 26

Partial Differential Equations and Boundary-Value Problems with Applications (Pure and Applied Undergraduate Texts)

Nonlinear Dispersive Equations: Local and Global Analysis (CBMS Regional Conference Series in Mathematics)