<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 behavior of the free boundary close to a fixed boundary in a parabolic problem</dc:title>
<dc:creator>D. Apushkinskaya</dc:creator><dc:creator>N. Matevosyan</dc:creator><dc:creator>N. Uraltseva</dc:creator>
<dc:subject>35R35</dc:subject><dc:subject>free boundary problems</dc:subject><dc:subject>regularity</dc:subject><dc:subject>global solutions</dc:subject><dc:subject>monotonicity formulas</dc:subject>
<dc:description>A parabolic obstacle-type problem without sign restriction on the solution is considered. An exact representation of the global solutions (i.e., solutions in the entire half-space $\{(x,t)\in\mathbb{R}^{n+1}\mid x_1&gt;0\}$) is found. Finally, the local properties of the free boundary near a fixed boundary is studied. Under the homogeneous Dirichlet condition on the given boundary, the smoothness of the free one is proved.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.3457</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3457</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 583 - 604</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>