Aleksandrov-type estimates for a parabolic Monge-Ampere equation
A classical result of Aleksandrov allows us to estimate the size of a convex function $u$ at a point $x$ in a bounded domain $Omega$ in terms of the distance from $x$ to the boundary of $Omega$ if $$int_{Omega} det D^{2}u , dx less than infty. $$ This estimate plays a prominent role in the exi...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/11/abstr.html |