Neumann spectral cluster estimates outside convex obstacles

Sinan Ariturk

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arXiv · 1007.0230

Neumann spectral cluster estimates outside convex obstacles

Sinan Ariturk

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Abstract

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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Sinan Ariturk. 2010-10-29. Neumann spectral cluster estimates outside convex obstacles. https://arxiv.org/abs/1007.0230

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