Continuous Extension of Functionals over W^{1,1}

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• Giles Shaw (CCA)
• Wednesday 16 October 2013, 16:00-17:00
• MR14, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Marcus Webb.

In the Calculus of Variations, the Direct Method is employed to prove the existence of global minimisers for functionals defined on Sobolev Spaces W^{1,p} for p>1. Due to a lack of reflexivity, the situation for p=1 is much harder. In this talk, I will start by giving a description of the Direct Method as it is traditionally used and an explanation of the problems encountered for the case p=1. I will then present recent results explaining how these problems can be overcome, obtained in collaboration with Filip Rindler.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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