On the Lp norm of spectral clusters for compact manifolds with boundary
نویسندگان
چکیده
منابع مشابه
On the L Norm of Spectral Clusters for Compact Manifolds with Boundary
Furthermore, the exponent of λ is sharp on every such manifold (see e.g., [15]). In the case of a sphere, the examples which prove sharpness are in fact eigenfunctions. For (1.2) the appropriate example is an eigenfunction which concentrates in a λ− 1 2 diameter tube about a geodesic. For (1.3), the example is a zonal eigenfunction of L norm λ n−1 2 which takes on value comparable to λ on a λ−1...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 2007
ISSN: 0001-5962
DOI: 10.1007/s11511-007-0014-z