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Existence of multi-valued solutions with asymptotic behavior of parabolic Monge-Ampère equation

Research paper by Limei Dai

Indexed on: 04 Mar '15Published on: 04 Mar '15Published in: Boundary Value Problems



Abstract

In this paper, we extend the results of multi-valued solutions of elliptic Monge-Ampère equation to parabolic Monge-Ampère equation. We use the Perron method to prove the existence of multi-valued solutions with asymptotic behavior at infinity of parabolic Monge-Ampère equation. Moreover, we prove that the multi-valued solution is continuous in the whole space.