The Monge-Ampère Equation
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- Synopsis
- This updated and revised monograph continues to follow the latest advances in the study of the Monge-Ampère equation and its applications. These advances are reflected in an essentially self-contained systematic exposition of the theory of weak solutions, including recent regularity results by L. A. Caffarelli. This volume can be used for a graduate level topics course in differential equations, and features bibliographic notes at the end of each chapter for further exploration. Additions to the second edition include: A new proof of the theorem that viscosity solutions are Aleksandrov solutions without using deep regularity results A new chapter on the Harnack inequality for the linearized Monge-Ampère equation. A new chapter on interior Hölder estimates for second derivatives Note sections expanded to include new developments since 2001
- Copyright:
- 2016
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783319433745
- Publisher:
- Springer International Publishing, Cham
- Date of Addition:
- 03/26/17
- Copyrighted By:
- Springer
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.