An Improved Strichartz Estimate for Systems with Divergence Free Data

作者：Chanillo Sagun; Yung Po Lam^*

来源：Communications in Partial Differential Equations, 2012, 37(2): 225-233.

DOI：10.1080/03605302.2011.594475

• Div-curl
• Divergence-free
• Strichartz estimates

Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], 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-x(1) norms of the inhomogeneity in the right hand side of the estimate.

• 出版日期2012