Aleksandrov-type estimates for a parabolic Monge-Ampere equation
| dc.contributor.author | Hartenstine, David | |
| dc.date.accessioned | 2021-05-18T15:41:02Z | |
| dc.date.available | 2021-05-18T15:41:02Z | |
| dc.date.issued | 2005-01-27 | |
| dc.description.abstract | A classical result of Aleksandrov allows us to estimate the size of a convex function u at a point x in a bounded domain Ω in terms of the distance from x to the boundary of Ω if ∫Ω det D2u dx < ∞. This estimate plays a prominent role in the existence and regularity theory of the Monge-Ampère equation. Jerison proved an extension of Aleksandrov's result that provides a similar estimate, in some cases for which this integral is infinite. Gutiérrez and Huang proved a variant of the Aleksandrov estimate, relevant to solutions of a parabolic Monge-Ampère equation. In this paper, we prove Jerison-like extensions to this parabolic estimate. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Hartenstine, D. (2005). Aleksandrov-type estimates for a parabolic Monge-Ampere equation. <i>Electronic Journal of Differential Equations, 2005</i>(11), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13582 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Parabolic Monge-Ampere measure | |
| dc.subject | Pointwise estimates | |
| dc.title | Aleksandrov-type estimates for a parabolic Monge-Ampere equation | |
| dc.type | Article |