Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP200101065
Funding Status
Active
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Funded Activity Summary
Nonlinear harmonic analysis and dispersive partial differential equations. This proposal is devoted to linear and nonlinear harmonic analysis. It aims to unify the most significant attributes of harmonic analysis such as restriction estimates, dispersive properties of differential operators, spectral multipliers, uniform Sobolev estimates and sharp Weyl formula. Such unification will strongly improve tools for mathematical modelling in all areas of technology and science. Notable applications include medical imaging, fluid dynamics and subatomic modelling using quantum interpretation. It will solve several important open problems in spectral analysis of partial differential operators and develop new cutting-edge techniques in harmonic analysis with application to nonlinear partial differential equations.Funded Activity Details
Start Date: 04-2020
End Date: 12-2024
Funding Scheme: Discovery Projects
Funding Amount: $420,000.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics | Partial Differential Equations
