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arXiv · 1011.6349

An improved Strichartz estimate for systems with divergence free data

Sagun Chanillo·Po-Lam Yung
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Abstract

Using the div-curl inequalities of Bourgain-Brezis [?MR2057026] and van Schaftingen [?MR2078071], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow $L^1_x$ norms of the inhomogeneity in the right hand side of the estimate.

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Sagun Chanillo, Po-Lam Yung. 2010-11-29. An improved Strichartz estimate for systems with divergence free data. https://arxiv.org/abs/1011.6349

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