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Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 122, Number 2, April 2000
- pp. 349-376
- 10.1353/ajm.2000.0014
- Article
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Abstract
The aim of this article is threefold. First, we use the FBI transform to set up a calculus for partial differential operators with nonsmooth coefficients. Next, this calculus allows us to prove Strichartz type estimates for the wave equation with nonsmooth coefficients. Finally, we use these Strichartz estimates to improve the local theory for second order nonlinear hyperbolic equations.
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