[Cite as http://purl.org/au-research/grants/arc/DE140101366]
Researchers Dr Jiakun Liu;
Brief description Fully nonlinear partial differential equations of Monge-Ampere type and their applications in optimal transportation have been studied intensively in the past two decades. Optimal transportation is a subject in linear optimisation. This project will develop a new theory on Monge-Ampere type equations in nonlinear optimisation, which is a much broader area with many significant applications. This project will investigate fundamental properties of solutions to this problem and explore further real-world applications. The outcomes of this project will have a substantial impact on partial differential equations and related research subjects.
Funding Amount 376527
Funding Scheme Discovery Early Career Researcher Award