Neumann spectral cluster estimates outside convex obstacles
classification
🧮 math.AP
keywords
spectralclustersneumannboundaryclustercompactconcaveconcerns
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This paper concerns spectral clusters of the Neumann Laplacian on compact Riemannian manifolds with strictly geodesically concave boundary. We prove an inequality which controls the $L^p$ norms of spectral clusters.
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