Title: Wave Equations with Low Regularity Coefficients

We illustrate how harmonic analysis techniques that were developed to understand the $L^p$ mapping properties of oscillatory integral and Fourier integral operators lead to an understanding of solutions to the wave equation on Riemannian manifolds with metrics of limited differentiability.

1991 Mathematics Subject Classification: 35L05, 35R05, 35S30, 35S50

Keywords and Phrases: Wave equation, Strichartz estimates

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