W-2.p estimates for the parabolic Monge-Ampere equation

Authors
Gutierrez, CE Huang, QB
Citation
Ce. Gutierrez et Qb. Huang, W-2.p estimates for the parabolic Monge-Ampere equation, ARCH R MECH, 159(2), 2001, pp. 137-177
Citations number
20
Categorie Soggetti
Mathematics,"Mechanical Engineering
Journal title
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN journal
00039527 → ACNP
Volume
159
Issue
2
Year of publication
2001
Pages
137 - 177
Database
ISI
SICI code
0003-9527(200109)159:2<137:WEFTPM>2.0.ZU;2-N
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 e stimates in L-infinity for u(t) and show that D(x)(2)u satisfies uniform in terior estimates in L-P for 0 < infinity.