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math.AP2011
Wave equations associated to Liouville systems and constant mean curvature equations
Sagun Chanillo, Po-Lam Yung
We study the wave analog of the Liouville equation and the constant mean curvature equations in 2 space dimensions, which are energy critical. We exhibit a blow-up criteria for the…
math.AP2010
An improved Strichartz estimate for systems with divergence free data
Sagun Chanillo, Po-Lam Yung
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 Sch…