Fully Nonlinear Elliptic Equations is popular PDF and ePub book, written by Luis A. Caffarelli in 1995, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fully Nonlinear Elliptic Equations can be Read Online from any device for your convenience.
Fully Nonlinear Elliptic Equations Book PDF Summary
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.
Detail Book of Fully Nonlinear Elliptic Equations PDF
- Author : Luis A. Caffarelli
- Release : 29 June 1995
- Publisher : American Mathematical Soc.
- ISBN : 9780821804377
- Genre : Mathematics
- Total Page : 114 pages
- Language : English
- PDF File Size : 17,9 Mb
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