Defect of compactness for Sobolev embeddings
Prof. Kyril Tintarev
Uppsala University, Sweden
| Speaker |
Prof. Kyril Tintarev
Uppsala University, Sweden
|
|---|---|
| When |
Nov 22, 2018
from 04:00 PM to 05:00 PM |
| Where | LH 006 |
| Add event to calendar |
vCal
iCal
|
Abstract: Defect of compactness for an embbedding of two Bamach spaces \(E\hookrightarrow F\) is a difference between a sequence and its weak limit in E, up to a remainder vanishing in \(F\) For many embeddings, defect of compactness can be expressed as profile decomposition - a sum of asymptotically decoupled terms. Profile decompositions refine the better known Concentration Compactness Principle of P.-L.Lions. We discuss profile decompositions generated by non-compact invariances, such as translations and scaling invariance, as well as the recent results on profile decompositions without invariance.