Truncations under differential constraints
A talk in the BI.discrete series by
Stefan Schiffer from (Bonn)
| Abstract: | The aim of this talk is to discuss the following question: Let us consider a function $u$ satisfying a differential constraint $A u=0$ (e.g. $A =\textrm{curl}$ or $A = \textrm{div}$). Is it possible to modify $u$ slightly, such that it still obeys
the differential constraint and is in some better space (i.e. $L^{\infty}$)?
This question can be seen as a generalization of Lipschitz extension/truncation results (e.g. Whitney, Kirszbraun/ Liu). A positive result can be applied to some problems in the Calculus of Variations, which I will briefly discuss.
This talk is based on joint work with L. Behn (Bielefeld) and F. Gmeineder (Konstanz). ZOOM Meeting ID: 926 5310 0938 Passcode: 1928 Within the CRC this talk is associated to the project(s): B7 |