W^{2, P} Estimates for the Parabolic Monge-Ampère Equation

Authors

Cristian E. Gutiérrez
Qingbo Huang, Wright State UniversityFollow

Document Type

Article

Publication Date

9-1-2001

Abstract

When u is a solution to the equation - ut det D2xu = f with f positive, continuous, and ft satisfying certain growth conditions, we establish estimates in L∞ for ut and show that D2xu satisfies uniform interior estimates in Lp for 0 < p < ∞.

Repository Citation

Gutiérrez, C., & Huang, Q. (2001). W^{2, P} Estimates for the Parabolic Monge-Ampère Equation. Archive for Rational Mechanics and Analysis, 159, 137-177.
https://corescholar.libraries.wright.edu/math/357

DOI

10.1007/s002050100151