"On the Mean Oscillation of the Hessian of Solutions to the Monge-Ampère Equation on a Priori c1,α and W 2,P Estimates for a Parabolic Monge-Ampère Equation in the Gauss Curvature Flows" by Qingbo Huang

Article

On the Mean Oscillation of the Hessian of Solutions to the Monge-Ampère Equation on a Priori c1,α and W 2,P Estimates for a Parabolic Monge-Ampère Equation in the Gauss Curvature Flows

American Journal of Mathematics

Qingbo Huang, Wright State University
L. U. Guozhen

Find in your library

Document Type

Article

Publication Date

4-1-2006

Abstract

This paper establishes Hölder estimates of Du and L p estimates of D 2u for solutions u to the parabolic Monge-Ampère equation -Au t + (det D 2u) 1/n = f.

DOI

10.1353/ajm.2006.0013

Citation Information

Qingbo Huang and L. U. Guozhen. "On the Mean Oscillation of the Hessian of Solutions to the Monge-Ampère Equation on a Priori c1,α and W 2,P Estimates for a Parabolic Monge-Ampère Equation in the Gauss Curvature Flows" American Journal of Mathematics Vol. 128 Iss. 2 (2006) p. 453 - 480 ISSN: 00029327
Available at: http://works.bepress.com/qingbo_huang/4/