Sharp Lp Bounds on Spectral Clusters for Lipschitz Metrics
| Autor: | Hart F. Smith, Herbert Koch, Daniel Tataru |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | American Journal of Mathematics. 136:1629-1663 |
| ISSN: | 1080-6377 |
| Popis: | We establish $L^p$ bounds on $L^2$ normalized spectral clusters for self-adjoint elliptic Dirichlet forms with Lipschitz coefficients. In two dimensions we obtain best possible bounds for all $2\le p\le\infty$, up to logarithmic losses for $6 |
| Databáze: | OpenAIRE |
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