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Continuity estimates for the Monge-Ampere equation

Date

Authors

Jian, Huai-Yu

Wang, Xu-Jia

Publisher

SIAM Publications

Abstract

In this paper, we study the regularity of solutions to the Monge-Ampère equation. We prove the log-Lipschitz continuity for the gradient under certain assumptions. We also give a unified treatment for the continuity estimates of the second derivatives. A

Keywords

Keywords: Meteorology; Parameter estimation; Problem solving; A priori estimates; Monge-Ampere equation; Second derivatives; Semigeostrophic equation; Differential equations A priori estimates; Monge - Ampère equation; Semigeostrophic equation

URI

http://hdl.handle.net/1885/36723

Collections

ANU Research Publications

Source

SIAM Journal on Mathematical Analysis

Type

Journal article

DOI

10.1137/060669036

Restricted until

2037-12-31

Downloads

File

Description

01_Jian_Continuity_estimates_for_the_2007.pdf (223.85 KB)

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