Problems related to the concentration of eigenfunctions
Christopher D. Sogge1
1 Department of Mathematics Johns Hopkins University Baltimore MD 21218, USA
Journées équations aux dérivées partielles (2015), article no. 9, 11 p.

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
Classification : 58J51, 35A99, 42B37
Keywords: Eigenfunctions, Kakeya-Nikodym averages

Christopher D. Sogge 1

1 Department of Mathematics Johns Hopkins University Baltimore MD 21218, USA 
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Christopher D.  Sogge. Problems related to the concentration of eigenfunctions. Journées équations aux dérivées partielles (2015), article  no. 9, 11 p. doi : 10.5802/jedp.638. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.638/

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