Journal
INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume 61, Issue 4, Pages 1451-1484Publisher
INDIANA UNIV MATH JOURNAL
DOI: 10.1512/iumj.2012.61.4707
Keywords
nonlocal Schrodinger equation; Gross-Pitaevskii equation; traveling waves; Pohozaev identities; nonzero conditions at infinity
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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.
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