<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation</dc:title>
<dc:creator>Slawomir Dinew</dc:creator><dc:creator>Xueying Zhang</dc:creator>
<dc:subject>32W20</dc:subject><dc:subject>complex Monge-Ampere equation</dc:subject><dc:subject>interior estimate</dc:subject><dc:subject>Dirichlet problem</dc:subject>
<dc:description>We prove that any $\mathcal{C}^{1,1}$ solution to the complex Monge-Amp\&#39;ere equation $\det(u_{i\bar{\jmath}}) = f$ with $0 &lt; f \in \mathcal{C}^{\alpha}$ is in $\mathcal{C}^{2,\alpha}$ for $\alpha \in (0,1)$.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4444</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4444</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 1713 - 1722</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>