<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>Nonexistence of traveling waves for a nonlocal Gross--Pitaevskii equation</dc:title>
<dc:creator>Andre de Laire</dc:creator>
<dc:subject>35Q55</dc:subject><dc:subject>35Q40</dc:subject><dc:subject>35Q51</dc:subject><dc:subject>35B65</dc:subject><dc:subject>37K40</dc:subject><dc:subject>37K05</dc:subject><dc:subject>81Q99</dc:subject><dc:subject>nonlocal Schroedinger equation</dc:subject><dc:subject>Gross-Pitaevskii equation</dc:subject><dc:subject>traveling waves</dc:subject><dc:subject>Pohozaev identities</dc:subject><dc:subject>nonzero conditions at infinity</dc:subject>
<dc:description>We consider a Gross--Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which nontrivial traveling waves do not exist.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2012</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2012.61.4707</dc:identifier>
<dc:source>10.1512/iumj.2012.61.4707</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 61 (2012) 1451 - 1484</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>