<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>Closed nodal surfaces for simply connected domains in higher dimensions</dc:title>
<dc:creator>James Kennedy</dc:creator>
<dc:subject>35P05</dc:subject><dc:subject>35B05</dc:subject><dc:subject>35J05</dc:subject><dc:subject>58J50</dc:subject><dc:subject>Laplacian</dc:subject><dc:subject>eigenfunction</dc:subject><dc:subject>nodal domain</dc:subject>
<dc:description>We give an example of a domain in dimension $N\geq3$, homeomorphic to a ball and with analytic boundary, for which the second eigenvalue of the Dirichlet Laplacian has an eigenfunction with a closed nodal surface. The domain is constructed via a sequence of perturbations of the domain of S. Fournais [J.\ Differential Equations \textbf{173} (2001), 145--159].</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2013</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2013.62.4975</dc:identifier>
<dc:source>10.1512/iumj.2013.62.4975</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 62 (2013) 785 - 798</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>