Discovery Projects - Grant ID: DP0210125

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0210125

Funding Status
Closed

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Funded Activity Summary

Nonlinear Partial Differential Equations: Singularities, Potential Theory, and Geometric Applications. The main objective of the project is to study properties of solutions to fully nonlinear, elliptic partial differential equations. Rather than studying more traditional existence-uniqueness problems the main task will be to investigate qualitative questions. These concern the behaviour of solutions to the equations, the description of possible pathologies and singularities the solutions can have, and conditions for the absence of singularities. Understanding of the singular behaviour of solutions is very important for applications in geometry, physics, elasticity, and mechanics. From this point of view, probably the most important problem is to find explicit information about singularities of solutions.

Funded Activity Details

Start Date: 01-01-2002

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $187,118.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Geometry | Pure Mathematics | Harmonic And Fourier Analysis | Differential, Difference And Integral Equations |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Differential, Difference And Integral Equations | Geometry | Harmonic And Fourier Analysis | Mathematical sciences | Pure Mathematics

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