Abstract
When u is a solution to the equation −u t det D x 2 u=f with f positive, continuous, and f t satisfying certain growth conditions, we establish estimates in L ∞ for u t and show that D x 2 u satisfies uniform interior estimates in L p for 0<p<∞.
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Accepted January 23, 2001¶Published online June 28, 2001
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Gutiérrez, C., Huang, Q. W2,p Estimates for the Parabolic¶Monge-Ampère Equation. Arch. Rational Mech. Anal. 159, 137–177 (2001). https://doi.org/10.1007/s002050100151
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DOI: https://doi.org/10.1007/s002050100151