<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>On the Green&#39;s matrices of strongly parabolic systems of second order</dc:title>
<dc:creator>S. Cho</dc:creator><dc:creator>Hongjie Dong</dc:creator><dc:creator>Soon-Kyu Kim</dc:creator>
<dc:subject>35A08</dc:subject><dc:subject>35K40</dc:subject><dc:subject>35B45</dc:subject><dc:subject>Green function</dc:subject><dc:subject>Green&#39;s matrix</dc:subject><dc:subject>fundamental solution</dc:subject><dc:subject>fundamental matrix</dc:subject><dc:subject>second order parabolic system</dc:subject><dc:subject>Gaussian estimate</dc:subject>
<dc:description>We establish existence and various estimates of fundamental matrices and Green&#39;s matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical domains under the assumption that solutions of the systems satisfy an interior H\&quot;older continuity estimate. We present a unified approach valid for both the scalar and the vectorial cases.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3293</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3293</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 1633 - 1678</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>