Reflection principle for classical solutions of the homogeneous real Monge–Ampère equation

We consider reflection principle for classical solutions of the homogeneous real Monge–Ampère equation. We show that both the odd and the even reflected functions satisfy the Monge–Ampère equation if the second-order partial derivatives have continuous limits on the reflection boundary. In addition...

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Bibliographic Details
Main Author: Mika Koskenoja
Format: Article
Language:English
Published: Taylor & Francis Group 2015-12-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2015.1024993