Strichartz Estimates for Second Order Hyperbolic Operators with Nonsmooth Coefficients, II

Strichartz Estimates for Second Order Hyperbolic Operators with Nonsmooth Coefficients, II

In an earlier work we have proved some estimates of Strichartz type for second order hyperbolic operators with$C^{s}$coefficients for 0 ≤ s ≤ 1. Here we improve these estimates and extend the range of s to 0 ≤ s ≤ 2. In particular for s = 2 we obtain the full Strichartz estimates.

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Veröffentlicht in:American journal of mathematics 2001-06, Vol.123 (3), p.385-423
1. Verfasser: Tataru, Daniel
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Coordinate systems
Cubes
Dyadics
Fourier coefficients
Fourier transformations
Interpolation
Mathematical analysis
Mathematical integrals
Mathematical theorems
Theory
Wave equations
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Zusammenfassung:In an earlier work we have proved some estimates of Strichartz type for second order hyperbolic operators with$C^{s}$coefficients for 0 ≤ s ≤ 1. Here we improve these estimates and extend the range of s to 0 ≤ s ≤ 2. In particular for s = 2 we obtain the full Strichartz estimates.
ISSN:0002-9327
1080-6377
1080-6377
DOI:10.1353/ajm.2001.0021