论文信息 - Spectral cluster estimates for C1,1 metrics

Spectral cluster estimates for C1,1 metrics

<abstract abstract-type="TeX">In this paper, we establish Lp norm bounds for spectral clusters on compact manifolds, under the assumption that the metric is C1,1. Precisely, we show that the Lp estimates proven by Sogge in the case of smooth metrics hold under this limited regularity assumption. It is known by examples of Smith-Sogge that such estimates fail for C1,α metrics if α < 1.

Hart F. Smith

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