NSF FRG Conference
March 24-26, 2006

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Christopher Sogge, Johns Hopkins University

Estimates for eigenfunctions of the Laplacian

Abstract: I shall present various estimates for eigenfunctions of the Laplacian in manifolds with and without boundary. A common theme is to try to see how the underlying geometry, as measured by the long-term properties of the geodesic flow, does or does not lead to blowup of norms. In the case where we shall also discuss blowup and non-blowup results for quasimodes.