Article
W2, P Estimates for the Parabolic Monge-Ampère Equation
Archive for Rational Mechanics and Analysis
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 < ∞.
DOI
10.1007/s002050100151
Citation Information
Cristian E. Gutiérrez and Qingbo Huang. "W2, P Estimates for the Parabolic Monge-Ampère Equation" Archive for Rational Mechanics and Analysis Vol. 159 (2001) p. 137 - 177 ISSN: 00039527 Available at: http://works.bepress.com/qingbo_huang/9/