The general purpose of this project is to study the influence of curvature on the properties of solutions of certain partial differential equations whose leading symbol is the Laplacian or the p-Laplacian. One key instrument is the curvature controlled comparison of solutions in a given Riemannian (sub-)space with the corresponding solutions in a tailor made model space.
|Effective start/end date||01/09/2007 → 01/09/2010|
- Submanifolds, extrinsic balls, radial convexity, radial tangency, mean exit time, isoperimetric inequalities, volume bounds, parabolicity
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