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Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces
 
 
Description: 

This talk focusses on the smoothness of the solutions of parabolic PDEs on Lipschitz domains in the fractional Sobolev scale Hs, s in R.

The regularity in these spaces is related with the approximation order that can be achieved by numerical schemes based on uniform grid refinements.

The results presented provide a first attempt to generalize the well-known H3/2-Theorem of Jerison and Kenig to parabolic PDEs. As a special case the heat equation on  radial-symmetric cones is investigated.  

Date:  2019-04-05
Start Time:   14:30
Speaker:  Cornelia Schneider (Univ. Erlangen-Nuremberg, Germany)
Institution:  Univ. Erlangen-Nuremberg, Germany
Place:  Room 5.5
Research Groups: -Analysis
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