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.

Sharp decay estimates for critical Dirac equations

William Borrelli;
2020-01-01

Abstract

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.
File in questo prodotto:
File Dimensione Formato  
SharpDecayCriticalDirac-TAMS2020.pdf

Accesso riservato

Dimensione 355.47 kB
Formato Adobe PDF
355.47 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1221298
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? 11
social impact