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 / Borrelli, W., Frank, R.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 373:3(2020), pp. 2045-2070. [10.1090/tran/7958]
Sharp decay estimates for critical Dirac equations
William Borrelli;
2020
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 | Dimensione | Formato | |
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