| Abstract: |
| I will talk about an elliptic regularity estimate for an oblique derivative boundary value problem, in which the directional derivative of solution along a vector field on the boundary is prescribed.
It is known that the classical Schauder estimate is no longer valid if the vector field is tangential at a submanifold of the boundary.
Our new Schauder-type estimate, in contrast to previously known subelliptic estimates, does not lose the derivatives, but it takes into account the regularity deficit as a weight in the estimate.
In fact, this estimate is shown to be appropriate for an application to Backus` problem in geodesy.
This talk is based on joint work with Toru Kan (Osaka Metropolitan University) and Rolando Magnanini (University of Florence). |
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