Discovery Projects - Grant ID: DP230100499

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP230100499

Funding Status
Active

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Funded Activity Summary

Singularity and regularity for Monge-Ampere type equations. The Monge-Ampere equation, as a premier nonlinear partial differential equation, arises in several areas including geometry, physics, and optimal transportation. Many important problems and applications are related to the regularity of solutions, which are obstructed by singularities. This project aims to classify the geometry of the singular sets, and to establish a comprehensive regularity theory for general Monge-Ampere type equations by using innovative approaches and developing cutting-edge technologies in partial differential equations. Expected outcomes include the resolution of outstanding open problems. This project will significantly enhance Australia’s leadership and expertise in a major area of mathematics and applications.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Projects

Funding Amount: $403,300.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Partial differential equations | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Expanding Knowledge In the Mathematical Sciences | Partial differential equations | Pure mathematics

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