[Cite as http://purl.org/au-research/grants/arc/DE160100173]
Researchers Dr Tran Vu Khanh
Brief description This project aims to make advances in partial differential equations (PDEs) in several complex variables. PDEs in several complex variables are important in modern analysis and geometry, especially harmonic analysis, operator theory, geometric analysis and PDE with rough coefficients. The project aims to study the relationship between geometric curvature conditions and regularity properties of the solutions of complex partial differential equations: specifically the D-bar-Neumann problem, linear operators associated to pseudoconvex domains, and the complex Monge-Ampere equation. These areas find applications in the physical sciences and mathematical finance.
Funding Amount $315,000
Funding Scheme Discovery Early Career Researcher Award