Pohozaev type identities via transport theorems
- Date: Wednesday 17 October 2018, 16:30 – 17:30
- Location: Roger Stevens LT 12 (10M.12)
- Type: Analysis and Applications, Seminars, Pure Mathematics
- Cost: Free
Mikolaj Sierzega, University of Warsaw. Part of the analysis and applications seminar series
Pohozaev-type identities play a central role in a number of nonexistence theorems for elliptic PDEs. They are also at the heart of blow-up analysis for a class of semilinear parabolic equations. Typically they are obtained via the “multiply and integrate” procedure where the choice of a correct multiplier may require some thought. When the equation is of variational origin and the domain does not have a boundary, useful multipliers may be easily identified through special variations of the action functional. In my talk I will describe, through suitable domain variations, how boundary value problems may be included in this variational picture.