Problems related to the concentration of eigenfunctions
Sogge, Christopher D.
Analysis of PDEs
Classical Analysis and ODEs
Differential Geometry
Primary 58J51, Secondary 35A99, 42B37
Original · EN
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 L¹-norms must also, in a measure theoretical sense, have extreme concentration near a geodesic.
English translation
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