Problems related to the concentration of eigenfunctions

Christopher D. Sogge
2015 Journées Équations aux dérivées partielles  
We survey recent results related to the concentration of eigenfunctions. We also prove some new results concerning ball-concentration, as well as showing that eigenfunctions saturating lower bounds for L 1 -norms must also, in a measure theoretical sense, have extreme concentration near a geodesic.
doi:10.5802/jedp.638 fatcat:74ebdxtr4fg33bwsarqanyx6hy