Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP0451168
Funding Status
Closed
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Funded Activity Summary
A comparative study of generalised solution concepts for elliptic partial differential equations using nonsmooth analysis techniques. The solution of ellpitic partial differential equations is central to science and engineering. There are a number of solution concepts, such as those of weak solutions and viscosity solutions, but the relations between these are incompletely understood. We shall investigate this major question using recent advances in optimisation theory and nonsmooth analysis. Our approach is to use various approximations and their associated second-order subdifferentials, each of which implies a generalised solution concept and associated abstract convexity. Particular attention, including computational details, will be given to equations which have very different solutions of one type from those of another.Funded Activity Details
Start Date: 2004
End Date: 12-2007
Funding Scheme: Discovery Projects
Funding Amount: $150,000.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Numerical and Computational Mathematics | Calculus Of Variations And Control Theory | Differential, Difference And Integral Equations | Optimisation |
