Sharp decay estimates for critical Dirac equations
Borrelli, William; Frank, Rupert L. (2018), Sharp decay estimates for critical Dirac equations. https://basepub.dauphine.fr/handle/123456789/18446
TypeDocument de travail / Working paper
Series titleCahier de recherche CEREMADE, Université Paris-Dauphine
MetadataShow full item record
Abstract (EN)We prove sharp pointwise decay estimates for critical Dirac equations on Rn with n≥2. They appear for instance in the study of critical Dirac equations on compact spin manifolds, describing blow-up profiles, and as effective equations in honeycomb structures. For the latter case, we find excited states with an explicit asymptotic behavior. Moreover, we provide some classification results both for ground states and for excited states.
Subjects / KeywordsAnalysis of PDEs; Dirac equations
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