Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 52, Issue 1, Pages 605-622Publisher
SIAM PUBLICATIONS
DOI: 10.1137/19M126284X
Keywords
nonlinear Schrodinger equation; Pekar functional; calculus of variations
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Funding
- European Research Council (ERC) under the European Union [694227]
- European Research Council (ERC) [694227] Funding Source: European Research Council (ERC)
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We consider the Pekar functional on a ball in R-3. We prove uniqueness of minimizers, and a quadratic lower bound in terms of the distance to the minimizer. The latter follows from nondegeneracy of the Hessian at the minimum.
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